PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter

Punjab State Board PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter Important Questions and Answers.

PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter

Very short answer type questions

Question 1.
What is the angle of dip at a place where the horizontal and vertical components of the earth’s magnetic field are equal?
Answer:
The angle of dip is given by
θ = tan-1 (\(\frac{B_{V}}{B_{H}}\))
BV = vertical component of the earth’s magnetic field.
BH = horizontal component of the earth’s magnetic field.
So, as BV = BH
Then, θ = tan-1 (1) = 45°
∴ The angle of dip will be θ = 45°.

Question 2.
The motion of copper plate is damped when it is allowed to oscillate between the two poles of a magnet. What is the cause of this damping?
Answer:
As the copper plates oscillate in the magnetic field between the two plates of the magnet, there is a continuous change of magnetic flux linked with the pendulum. Due to this, eddy currents are set up in the copper plate which try to oppose the motion of the pendulum according to the Lenz’s law and finally bring it to rest.

PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter

Question 3.
Relative permeability of a material μr = 0.5. Identify the nature of the magnetic material and write its relation of magnetic susceptibility.
Answer:
The nature of magnetic material is a diamagnetic.
μr = 1 + χm

Question 4.
Which of the following substances are diamagnetic?
Bi, Al, Na, Cu, Ca and Ni
Answer:
Diamagnetic substances are (i) Bi (ii) Cu.

Question 5.
The susceptibility of a magnetic material is -4.2 × 10-6. Name the type of magnetic material, it represents.
Answer:
Negative susceptibility represents diamagnetic substance.

Question 6.
What are permanent magnets? Give one example.
Answer:
Substances that retain their attractive property for a long period of time at room temperature are called permanent magnets.
Examples: Those pieces which are made up of steel, alnico, cobalt and ticonal.

PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter

Question 7.
Why is the core of an electromagnet made of ferromagnetic materials?
Answer:
Ferromagnetic material has a high retentivity. So on passing current through windings it gains sufficient magnetism immediately.

Question 8.
From molecular view point, discuss the temperature dependence of susceptibility for diamagnetism, paramagnetism and ferromagnetism. (NCERT Exemplar)
Answer:
Diamagnetism is due to orbital motion of electrons developing magnetic moments opposite to applied field and hence is not much affected by temperature.

Paramagnetism and ferromagnetism is due to alignments of atomic magnetic moments in the direction of the applied field. As temperature increases, this alignment is disturbed and hence susceptibilities of both decrease as temperature increases.

Question 9.
A ball of superconducting material is dipped in liquid nitrogen and placed near a bar magnet.
(i) In which direction will it move?
(ii) What will be the direction of its magnetic moment? (NCERT Exemplar)
Answer:
When a diamagnetic material is dipped in liquid nitrogen, it again behaves as a diamagnetic material. Thus, superconducting material will again behave as a diamagnetic material. When this diamagnetic material is placed near a bar magnet, it will be feebly magnetised opposite to the direction of magnetising field.

(i) Thus, it will be repelled.
(ii) Also its direction of magnetic moment will be opposite to the direction of magnetic field of magnet.

PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter

Question 10.
Consider the plane S formed by the dipole axis and the axis of earth. Let P be point on the magnetic equator and in S. Let Q be the point of intersection of the geographical and magnetic equators. Obtain the declination and dip angles at P and Q. (NCERT Exemplar)
Answer:
In adjoining figure:
PSEB 12th Class Physics Solutions Chapter 5 Magnetism and Matter 1
(i) P is in S (needle will point both north)
Declination = 0
P is also on magnetic equator.
∴ Dip = 0

(ii) Q is on magnetic equator.
∴ Dip = 0
But declination = 11.3.

Short answer type questions

Question 1.
Explain the following:
(i) Why do magnetic field lines form continuous closed loops?
(ii) Why are the field lines repelled (expelled) when a
diamagnetic material is placed in an external uniform magnetic field?
Answer:
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 2
(i) Magnetic lines of force form continuous closed loops because a magnet is always a dipole and as a result, the net magnetic flux of a magnet is always zero.
(ii) When a diamagnetic substance is placed in an external magnetic field, a feeble magnetism is induced in opposite direction. So, magnetic lines of force are repelled.

Question 2.
How does a circular loop carrying current behaves as a magnet?
Answer:
The current round in the face of the coil is in anti-clockwise direction, then this behaves like a North pole, whereas when it viewed from other scale, then current round in it is in clockwise direction necessarily forming South pole of magnet.
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 3
Hence, current loop have both magnetic poles and therefore, behaves like a magnetic dipole.

PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter

Question 3.
Give two points to distinguish between a paramagnetic and diamagnetic substance.
Answer:

Paramagnetic substance Diamagnetic substance
1. A paramagnetic substance is feebly attracted by magnet. A diamagnetic substance is feebly repelled by a magnet.
2. For a paramagnetic substance, the intensity of magnetisation has a small positive value. For a diamagnetic substance, the intensity of magnetism has a small negative value.

Question 4.
(a) How is an electromagnet different from a permanent magnet?
Write two properties of a material which makes it suitable for making (i) a permanent magnet, and (ii) an electromagnet.
Answer:
(a) An electromagnet consists of a core made of a ferromagnetic material placed inside a solenoid. It behaves like a strong magnet when current flows through the solenoid and effectively loses its magnetism when the current is switched off.

A permanent magnet is also made up of a ferromagnetic material but it retains its magnetism at room temperature for a long time after being magnetised one.

(b) Properties of material are as below:
(i) Permanent magnet

  • Retentivity and coercivity should be large
  • Magnetically hard

(ii) An electromagnet

  • Magnetically soft
  • Coercivity should be low.

Question 5.
A bar magnet of magnetic moment M and moment of inertia I (about centre, perpendicular to length) is cut into two equal pieces, perpendicular to length. Let T be the period of oscifiations of the original magnet about an axis through the mid-point, perpendicular to length, in a magnetic field B. What would be the similar period T’ for each piece? (NCERT Exemplar)
Answer:
Given, I = moment of inertia of the bar magnet
m = mass of bar magnet
l = length of magnet about an any passing through its centre and perpendicular to its length
M = magnetic moment of the magnet
B = uniform magnetic field in which magnet is oscillating, we get time period of oscillation is
T = 2π\(\sqrt{\frac{I}{M B}}\)
Here I = \(\frac{m l^{2}}{12}\)
When magnet is cut into two equal pieces, perpendicular to length, then moment of inertia of each piece of magnet about an axis perpendicular to length passing through its centre is
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 4

PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter

Question 6.
A uniform conducting wire of length 12 a and resistance R is wound up as a current carrying coil in the shape of (i) an equilateral triangle of side a; (ii) a square of sides a and, (iii) a regular hexagon of sides a. The coil is connected to a voltage source V0. Find the magnetic moment of the coils in each case. (NCERT Exemplar)

(i) Area of equilateral triangle, A = \(\frac{\sqrt{3}}{4}\) a2
(ii) Area of square, A = a2
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 5

Long answer type questions

Question 1.
Verify the Ampere’s law for magnetic field of a point dipole of dipole moment M = Mk̂. Take C as the closed curve running clockwise along
(i) the z-axis from z a > 0 to z = R,
(ii) along the quarter circle of radius R and centre at the origin in the first quadrant of vz-plane,
(iii) along the x-axis from x = R to x = a, and
(iv) along the quarter circle of radius a and centre at the origin
in the first quadrant of xz-plane (NCERT Exemplar)
Answer:
From P to Q, every point on the z-axis lies at the axial line of magnetic
dipole of moment \(\vec{M}\). Magnetic field induction at a point distance z from the magnetic dipole of moment is
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 6

(ii) Along the quarter circle QS of radius R as-.given in the figure below
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 7
The point A lies on the equatorial line of the magnetic dipole of moment M sin0. Magnetic field at point A on the circular arc is
B = \(\frac{\mu_{0}}{4 \pi} \frac{M \sin \theta}{R^{3}}\) ; \(\overrightarrow{d l}\) = Rdθ

PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 8
(iii) Along x-axis over the path ST, consider the figure given below.
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 9
From figure, every point lies on the equatorial line of magnetic dipole. Magnetic field induction at a point distance x from the dipole is
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 10
(iv) Along the quarter circle TP of radius a. Consider the figure given below
PSEB 12th Class Physics Important Questions Chapter 5 Magnetism and Matter 11

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Punjab State Board PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism Important Questions and Answers.

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Very short answer type questions

Question 1.
Using the concept of force between two infinitely long parallel current carrying conductors define one ampere of current.
Answer:
One ampere is that value of current which flows through two straight, parallel infinitely long current carrying conductors placed in air or. vacuum at a distance of 1 m and they experience a force of attractive or repulsive nature of magnitude 2 × 10-7 N/m on their unit length.

Question 2.
State Ampere’s circuit law.
Answer:
It states that the line integral of the magnetic field \(\vec{B}\) around any closed circuit is equal to p0 times the total current passing through this closed circuit.
\(\oint \vec{B} \cdot \overrightarrow{d l}\) = μ0 I

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Question 3.
A narrow beam of protons and deuterons, each having the same momentum, enters a region of uniform magnetic field directed perpendicular to their direction of momentum. What would be the ratio of the radii of the circular path described by them?
Answer:
For the given momentum of charge particle, radius of circular paths depends on charge and magnetic field as
r = \(\) ⇒ r ∝ \(\)
For given momentum,
∴ rproton : rdeuteron = 1 : 1
As they have same momentum and charge moving in a small magnetic field.

Question 4.
Write the expression, in a vector form, for the Lorentz magnetic force \(\overrightarrow{\boldsymbol{F}}\) due to a charge moving with velocity \(\vec{v}\) in a magnetic field \(\overrightarrow{\boldsymbol{B}}\). What is the direction of the magnetic force?
Answer:
Force, \(\vec{F}=q(\vec{v} \times \vec{B})\)
Obviously, the force on charged particle is perpendicular to both velocity \(\vec{v}\) and magnetic field \(\vec{B}\).

Question 5.
When a charged particle moving with velocity \(\vec{v}\) is subjected to magnetic field \(\overrightarrow{\boldsymbol{B}}\), the force acting on it is non-zero. Would the particle gain any energy?
Answe:
No. (i) This is because the charge particle moves on a circular path.
(ii) \(\vec{F}=q(\vec{\nu} \times \vec{B})\)
and power dissipated p = \(\vec{F} \times \vec{V}\)
= q \((\vec{v} \times \vec{B}) \times \vec{y}\) = p\((\vec{v} \times \vec{v}) \times \vec{B}\)
The particle does not gain any energy.

Question 6.
A square coil OPQR of side a carrying a current 7, is placed in the Y-Z plane as shown here. Find the magnetic moment associated with this coil.
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 1
Answer:
The magnetic moment associated with the coil, is \(\vec{\mu}\)m = Ia2î

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Question 7.
Under what condition is the force acting on a charge moving through a uniform magnetic field is minimum?
Answer:
Fm = qvB sinθ; for minimum force sinθ = 0. i.e., force is minimum when charged particle move parallel or anti-parallel to the field.

Question 8.
What is the nature of magnetic field in a moving coil galvanometer?
Answer:
The nature of magnetic field in a moving coil galvanometer is radial.

Question 9.
Verify that the cyclotron frequency ω = eB/m has the correct dimensions of [T]-1. (NCERT Exemplar)
Or A charged particle of charge e and mass m is moving in an electric field E and magnetic field B. Construct dimensionless quantities and quantities of dimension [T]-1. (NCERT Exemplar)
Answer:
For a charge particle moving perpendicular to the magnetic field, the magnetic Lorentz forces provides necessary centripetal force for revolution.
\(\frac{m v^{2}}{R}\) = qvB
On simplifying the terms, we have
∴ \(\frac{q B}{m}=\frac{v}{R}\) = ω
Finding the dimensional formula of angu
∴ [ω] = \(\left[\frac{q B}{m}\right]=\left[\frac{v}{R}\right]\) = [T] -1

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Question 10.
Show that a force that does no work must be a velocity dependent force. (NCERT Exemplar)
Answer:
Let no work is done by a force, so we have
dW = F.dl = 0
⇒ F. v dt = 0 (Since, dl = v dt and dt ≠ 0)
⇒ F.v = 0
Thus, F must be velocity dependent which implies that angle between F and v is 90°. If v changes (direction), then (directions) F should also change so that above condition is satisfied.

Question 11.
The magnetic force depends on v which depends on the inertial frame of reference. Does then the magnetic force differ from inertial frame to frame? Is it reasonable that the net acceleration has a different value in different frames of reference? (NCERT Exemplar|
Answer:
Yes, the magnetic force differ from inertial frame to frame. The magnetic force is frame dependent.
The net acceleration which comes into existing out of this is however, frame independent (non-relativistic physics) for inertial frames.

Question 12.
An electron enters with a velocity υ = υ0î into a cubical region (faces parallel to coordinate planes) in which there are uniform electric and magnetic fields. The orbit of the electron is found to spiral down inside the cube in plane parallel to the x-y plane. Suggest a configuration of fields E and B that can lead to it. (NCERT Exemplar)
Answer:
Considering magnetic field B = B0k̂, and an electron enters with a velocity v = v0î into a cubical region (faces parallel to coordinate planes). The force on electron, using magnetic Lorentz force, is given by
F = -e(v0î x B0k̂) = ev0B0î
which revolves the electron in x-y plane.
The electric force F = -eE0k̂ accelerates e along z-axis which in turn increases the radius of circular path and hence particle traversed on spiral path.

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Short answer type questions

Question 1.
Write any two important points of similarities and differences each between Coulomb’s law for the electrostatic field and . Biot-Savart’s law for the magnetic field.
Answer:
Similarities: Both electrostatic field and magnetic field

  • follows the principle of superposition.
  • depends inversely on the square of distance from source to the point of interest.

Differences I

  • Electrostatic field is produced by a scalar source (q) and the magnetic
    field is produced by a vector source (I\(\overrightarrow{d l}\)).
  • Electrostatic field is along the displacement vector between source and point of interest; while magnetic field is perpendicular to the plane, containing the displacement vector and vector source.
  • Electrostatic field is angle independent, while magnetic field is angle
    dependent between source vector and displacement vector.

Question 2.
State the underlying principle of a cyclotron. Write briefly how this machine is used to accelerate charged particles to high energies.
Or State the principle of the working of a cyclotron. Write two uses of this machine.
Answer:
The combination of crossed electric and magnetic fields is used to increase the energy of the charged particle. Cyclotron uses the fact that the frequency of revolution of the charged particle in a magnetic field is independent of its energy.
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 2

Inside the dees the particle is shielded from the electric field and magnetic field acts on the particle and makes it to go round in a circular path inside a dee.

Every time, the particle moves from one dee to the other it comes under the influence of electric field which ensures to increase the energy of the particle as the sign of the electric field changed alternately.
The increased energy increases the radius of the circular path so the accelerated particle moves in a spiral path.
Since, radius of trajectory
r = \(\frac{v m}{q B}\)
∴ v = \(\frac{r q B}{m}\)
Hence, the kinetic energy of ions
= \(\frac{1}{2}\)mv2 = \frac{1}{2}\(\)m\(\frac{r^{2} q^{2} B^{2}}{m^{2}}\)
⇒ KE = \(\frac{1}{2}\)\(\frac{r^{2} q^{2} B^{2}}{m}\)

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Question 3.
(i) State Ampere’s circuital law expressing it in the integral form.
(ii) Two long co-axial insulated solenoids S1 and S2 of equal length are wound one over the other as shown in the figure. A steady current I flows through the inner solenoid S1 to the other end B which is connected to the outer solenoid S2 through which the some current I flows in the opposite direction so, as to come out at end A. If n1 and n2 are the number of turns per unit length, find the magnitude and direction of the net magnetic field at a point
(a) inside on the axis and
(b) outside the combined system.
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 3
Answer:
(i) Ampere’s circuital law states that the line integral of magnetic field
(B) around any closed path in vacuum is μ0 times the net current (I) threading the area enclosed by the curve.
Mathematically, \(\oint \vec{B} \cdot d \vec{l}\) = μ0I
Ampere’s law is applicable only for an Amperian loop as the Gauss’s law is used for Gaussian surface in electrostatics.

(ii) According to Ampere’s circuital law, the net magnetic field is given by
B = μ0nî.
(a) The net magnetic field is given by
Bnet = B2 – B1
μ0n2I20n1I1
= μ0I(n2 – n1)
The direction is from B to A.

(b) As the magnetic field due to Sx is confined solely inside S1 as the solenoids are assumed to be very long. So, there is no magnetic field outside S1 due to current in S1, similarly there is no field outside S2.
Bnet = 0

Question 4.
(a) State Biot-Savart law and express this law in the vector
form.
(b) Two identical circular coils, P and Q each of radius R, carrying currents 1 A and √3 A, respectively, are placed concentrically and perpendicular to each other lying in the XY and YZ planes. Find the magnitude and direction of the net magnetic field at the centre of the coils. ’
Answer:
(a) According to Biot-Savart’s law the magnitude of the magnetic field \(\overrightarrow{d B}\) due to a small element of length dl of a current carrying wire at a point P, is proportional to the current I, the element length dl and is inversly proportional to the square of the distance r. It is also proportional to sinθ,

where θ is the angle between \(\overrightarrow{d l}\) and \(\vec{r}\).
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 4
Its direction is perpendicular to the plane containing \(\overrightarrow{d l}\) and \(\vec{r}\) in vector form
\(\overrightarrow{d B}\) ∝ \(\frac{I \overrightarrow{d l} \times \vec{r}}{r^{3}}\)
⇒ \(\overrightarrow{d B}\) = \(\frac{\mu_{0}}{4 \pi} \cdot \frac{I d \vec{l} \cdot \vec{r}}{r^{3}}\)
(\(\overrightarrow{d l}\) is directed along the length of the wire in the direction of current and
\(\vec{r}\) is the vector joining the centre of current element to the point P) (b) Field due to current in coil P is
\(\vec{B}\)2 = \(\frac{\mu_{0} I_{1}}{2 R}\) .k̂
(Assuming current to be anticlockwise as seen form + ve Z-axis) and that due to current in coil Q is
\(\vec{B}\)2 = \(\frac{\mu_{0} I_{2}}{2 R} \hat{i}\)
(Assuming current to be anticlockwise as seen form positive X-axis)
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 5

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Question 5.
Explain, giving reasons, the basic difference in converting a galvanometer into (i) a voltmeter and (ii) an ammeter.
Answer:
(i) In converting a galvanometer into a voltmeter, a very high suitable resistance is connected in series to its coil. So, the galvanometer gives full scale deflection.
(ii) In converting a galvanometer into an ammeter, a very small suitable resistance is connected in parallel to its coil. The remaining pair of the current i.e., (I – Ig) flows through the resistance. Here I = Circuit current
and Ig = Current through galvanometer.

Question 6.
A current carrying loop consists of 3 identical quarter circles of radius R, lying in the positive quadrants of the x-y, y-z and z-x planes with their centres at the origin, joined together. Find the direction and magnitude of B at the origin. (NCERT Exemplar)
Answer:
For the current carrying loop quarter circles of radius R, lying in the positive quadrants of the x-y plane
B1 = \(\frac{\mu_{0}}{4 \pi} \frac{I(\pi / 2)}{R}\) = k̂\(\frac{\mu_{0}}{4} \frac{I}{2 R}\) k̂
For the current carrying loop quarter circles of radius R, lying in the positive quadrants of the y-z plane
B2 = \(\frac{\mu_{0}}{4} \frac{I}{2 R}\)î
For the current carrying loop quarter circles of radius R, lying in the positive quadrants of the z-x plane
B3 = \(\frac{\mu_{0}}{4} \frac{I}{2 R}\)
Current carrying loop consists of 3 identical quarter circles of radius R, lying in the positive quadrants of the x-y, y-y and z-z planes with their centres at the origin, joined together is equal to the vector sum of magnetic field due to each quarter and given by,
B = \(\frac{1}{4 \pi}\) (î + ĵ + k̂)\(\frac{\mu_{0} I}{2 R}\)

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Question 7.
A long straight wire carrying current of 25 A rests on a table as shown in figure. Another wire PQ of length 1 m, mass 2.5 g carries the same current but in the opposite direction.
The wire PQ is free to slide up and down. To what height will PQ rise? (NCERT Exemplar)
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 6
Answer:
The magnetic field produced by long straight wire carrying current of 25 A rests on a table on small wire
B = \(\frac{\mu_{0} I}{2 \pi h}\)
The magnetic force on small conductor is , F = BIl sin θ = BIl
Force applied on PQ balance the weight of small current carrying wire.
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 7

Long answer type questions

Question 1.
Derive an expression for the force per unit length between two long straight parallel current carrying conductors. Hence define SI unit of current (ampere).
Answer:
Suppose two long thin straight conductors (or wires) PQ and RS are placed parallel to each other in vacuum (or air) carrying currents I1 and Isub>2 respectively. It has been observed experimentally that when the currents in the wire are in the same direction, they experience an attractive force (fig. a) and when they carry currents in opposite directions, they experience a repulsive force (fig. b).

Let the conductors PQ and RS carry currents I1 and I2 in same direction and placed at separation r.

Consider a current-element ‘ab’ of length ΔL of wire RS. The magnetic field produced by current- carrying conductor PQ at the location of other wire RS.
B1 = \(\frac{\mu_{0} I_{1}}{2 \pi r}\) ………….(1)

According to Maxwell’s right hand rule or right hand palm rule number 1, the direction of B1 will be perpendicular to the plane of paper and directed downward. Due to this magnetic field, each element of other wire experiences a force. The direction of current element is perpendicular to the magnetic field; therefore the magnetic force on element ab of length ΔL
ΔF = B1I2ΔL sin90° = \(\frac{\mu_{0} I_{1}}{2 \pi r}\) I2 ΔL
∴ The total force on conductor of length L will be
F = \(\frac{\mu_{0} I_{1} I_{2}}{2 \pi r}\) ΔΣL = \(\frac{\mu_{0} I_{1} I_{2}}{2 \pi r}\)L
∴ Force acting per unit length of conductor
f = \(\frac{F}{L}\) = \(\frac{\mu_{0} I_{1} I_{2}}{2 \pi r}\) N/M …………… (2)

According to Fleming’s left hand rule, the direction of magnetic force will be towards PQ, i.e., the force will be attractive.

On the other hand if the currents I1 and I2 in wires are in opposite directions, the force will be repulsive. The magnitude of force in each case remains the same.

Definition of SI Unit of Current (Ampere) : In SI system of fundamental unit of current ‘ampere’ is defined assuming the force between the two current carrying wires as standard.
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 8
The force between two parallel current carrying conductors of separation r is
\(\frac{F}{L}\) = \(\frac{\mu_{0} I_{1} I_{2}}{2 \pi r}\) N/M

If I1 = I2 = 1A, r = lm, then
f = \(\frac{\mu_{0}}{2 \pi}\) = 2 x 10-7 N/m
Thus, 1 ampere is the current which when flowing in each of parallel conductors placed at separation 1 m in vacuum exert a force of 2 x 10-7 on 1 m length of either wire.

PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism

Question 2.
Draw the labelled diagram of a moving coil galvanometer. Prove that in a radial magnetic field, the deflection of the coil is directly proportional to the current flowing in the coil.
Or (a) Draw a labelled diagram of a moving coil galvanometer.
Describe briefly its principle and working.
(b) Answer the following:
(i) Why is it necessary to introduce a cylindrical soft iron core inside the coil of a galvanometer?
(ii) Increasing the current sensitivity of a galvanometer may not necessarily increase its voltage sensitivity. Explain, giving reason.
Or Explain, using a labelled diagram, the principle and working of a moving coil galvanometer. What is the function of (i) uniform radial magnetic field, (ii) soft iron core?
Or Define the terms (i) current sensitivity and (ii) voltage sensitivity of a galvanometer. Why does increasing the current sensitivity not necessarily increase voltage sensitivity?
Answer:
(a) Moving Coil Galvanometer: A galvanometer is used to detect current in a circuit.

Construction: It consists of a rectangular coil wound on a non-conducting metallic frame and is suspended by phosphor bronze strip between the pole-pieces (N and S) of a strong permanent magnet. A soft iron core in cylindrical form is placed between the coil.

One end of coil is attached to suspension wire which also serves as one terminal (Tx) of galvanometer. The other end of coil is connected to a loosely coiled strip, which serves as the other terminal (T2). The other end of the suspension is attached to a torsion head which can be rotated to set the coil in zero position. A mirror (M) is fixed on the phosphor bronze strip by means of which the deflection of the coil is measured by the lamp and scale arrangement. The levelling screws are also provided at the base of the instrument.

The pole pieces of the permanent magnet are cylindrical so that the magnetic field is radial at any position of the coil.
PSEB 12th Class Physics Important Questions Chapter 4 Moving Charges and Magnetism 9

Principle and Working : When current (I) is passed in the coil, torque τ acts on the coil, given by
τ = NIABsinθ

where θ is the angle between the normal to plane of coil and the magnetic field of strength B, N is the number of turns in a coil.

When the magnetic field is radial, as in the case of cylindrical pole pieces and soft iron core, then in every position of coil the plane of the coil, is parallel to the magnetic field lines, so that θ = 90° and sin 90 ° = 1. The coil experiences a uniform coupler.
Deflecting torque, τ = NIAB
If C is the torsional rigidity of the wire and θ is the twist of suspension strip, then restoring torque = C0. For equilibrium, deflecting torque = restoring torque
i.e., NIAB = Cθ
θ = \(\frac{N A B}{C}\)I ………… (1)
i.e., θ ∝ I
Deflection of coil is directly proportional to current flowing in the coil and hence we can construct a linear scale.

Importance (or Function) of Uniform Radial Magnetic Field
Torque as current carrying coil in a magnetic field is τ = NIAB sinθ In radial magnetic field sinθ = 1, so torque is τ = NIAB.
This makes the deflection (θ) proportional to current. In other words, the radial magnetic field makes the scale linear.

(b)
(i) The cylindrical, soft iron core makes the (1) field radial and (2) increases the strength of the magnetic field, i.e., the magnitude of the torque.

(ii) Sensitivity of Galvanometer
Current sensitivity: It is defined as the deflection of coil per unit current flowing in it.
Sensitivity,
I = (\(\frac{\theta}{I}\)) = \(\frac{N A B}{C}\)………… (1)
Voltage sensitivity: It is defined as the deflection of coil per unit potential difference across its ends.
i.e., SV = \(\frac{\theta}{V}\) = \(\frac{N A B}{R_{g} \cdot C}\) …………. (2)
where Rg is resistance of galvanometer.
Clearly for greater sensitivity number of turns N, area A and magnetic field strength B should be large and torsional rigidity C of suspension should be small.
Dividing eqs. (2) by (1)
\(\frac{S_{V}}{S_{I}}=\frac{1}{G}\) = 1 ⇒ SV = \(\frac{1}{G}\) SI
Clearly, the voltage sensitivity depends on current sensitivity and the resistance of galvanometer. If we increase current sensitivity and resistance G is larger, then it is not certain that voltage sensitivity will be increased. Thus, the increase of current sensitivity does not imply the increase of voltage sensitivity.

PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics: Materials, Devices and Simple Circuits

Punjab State Board PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics: Materials, Devices and Simple Circuits Important Questions and Answers.

PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics: Materials, Devices and Simple Circuits

Very short answer type questions

Question 1.
The graph shown in the figure represents a plot of current versus voltage for a given semiconductor. Identify the region at which 5 the semiconductor has a negative resistance.
Answer:
Resistance of a material can be found out by the slope of the curve V versus I. Part BC of the curve u shows the negative resistance as with the increase in current and decrease in voltage.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 1

Question 2.
Sn, C, SI and Ge are all group 14 elements, Yet, Sn is a conductor, C is an insulator while Si and Ge are semiconductors. Why? (NCERT Exemplar)
Answer:
If the valence and conduction bands overlap (no energy gap), the substance is referred as a conductor. For insulators the energy gap is large and for semiconductors, the energy gap is moderate. The energy gap of Sn is O eV, for C is 5.4 eV, for Si is 1.1 eV and for Ge is 0.7 eV. Accordingly, their electrical conductivity varies.

Question 3.
Why are elemental dopants for Silicon or Germanium usually chosen from group 13 or group 15? (NCERTExemplar)
Answer:
The size of dopant atoms should be such as not to distort the pure semiconductor lattice structure and yet easily contribute a charge camer on forming covalent bonds with Si or Ge.

Question 4.
What happens to the width of depletion Layer of a p.n junction when it is
(i) forward biased,
(ii) reverse biased
Answer:
(i) When forward biased, the width of depletion layer decreases.
(ii) When reverse biased, the width of depletion layer increases.

PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics: Materials, Devices and Simple Circuits

Question 5.
In a transistor, doping level in base is increased slightly. How will it affect
(i) collector current and
(ii) base current?
Answer:
When doping level in base is increased slightly;
(i) Collector current decreases slightly and
(ii) Base current increases slightly.

Question 6.
Can the potential barrier across a p-n junction be measured by simply connecting a voltmeter across the junction (NCERT Exemplar)
Answer:
No, because the voltmeter must have a resistance very high compared to the junction resistance, the latter being nearly infinite.

Question 7.
Explain why elemental semiconductors cannot be used to make visible LEDs.(NCERT Exemplar)
Answer:
Elemental semiconductor’s band-gap is such that’ electromagnetic emissions are in infrared region.

Question 8.
Draw the logic circuit of a NAND gate and write its truth table.
Answer:
Logic circuit of a NAND gate
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 2
Truth table

A B Y = A.B
0 0 1
0 1 1
1 0 1
1 1 0

Short answer type questions

Question 1.
Write any two distinguishing features between conductors, semiconductors and insulators on the basis of energy band diagrams.
or
Draw the necessary energy band diagrams to distinguish between conductors, semiconductors and insulators. How does the change in temperature affect the behaviour of these materials? Explain briefly.
Answer:
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 3
Distinguishing Features
(a) In conductors: Valence band and conduction band overlap each other.
In semiconductors: Valence band and conduction band are separated by a small energy gap.
In insulators: Valence band and conduction band are separated by a large energy gap.
(b) In conductors: Large number of free electrons are available in conduction band.
In semiconductors: A very small number of electrons are available for electrical conduction.
In insulators: Conduction band is almost empty i.e., no electron is available for conduction.

Effect of temperature

  • In conductors: At high temperature, the collision of electrons become more frequent with the atoms/molecules at lattice site in the metals as a result the conductivity decreases (or resistivity increases).
  • In semiconductors: As the temperature of the semiconducting material increases, more electron-hole pairs becomes available in the conduction band and valence band, and hence the conductivity increases or the resistivity decreases.
  • In insulators: The energy band between conduction band and valence band is very large, so it is unsurpassable for small temperature rise. So, there is no change in their behaviour.

Question 2.
Distinguish between ‘intrinsic’ and ‘extrinsic’ semiconductors?
Answer:

Intrinsic semiconductor Extrinsic semiconductor
1. It is a pure semiconductor material with no impurity atoms in it. It is prepared by doping a small quantity of impurity atoms to the pure semiconductor.
2. The number of free electrons in the conduction band and the number of holes in valence band is exactly equal. The number of free electrons and holes is never equal. There is an excess of electrons in n-type semicoñductors and excess of holes in p-tpe semiconductors.

Question 3.
The circuit shown in the figure has two oppositely connected ‘ ideal diodes connected in parallel. Find the current flowing through each diode in the circuit.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 4
Answer:
(i) Diode D1 is reverse biased, so it offers an infinite resistance. So, no current flows in the branch of diode D1.
(ii) Diode D2 is forward biased and offers no resistance in the circuit. So, current in the branch,
I = \(\frac{V}{R_{e q}}=\frac{12 \mathrm{~V}}{2 \Omega+4 \Omega}=\frac{12 \mathrm{~V}}{6 \Omega}\) = 2A.

PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics: Materials, Devices and Simple Circuits

Question 4.
A Zener of power rating 1W is to be used as a voltage regulator. If Zener has a breakdown of 5V and it has to regulate voltage which fluctuated between 3V and 7 V, what should be the value of Rs for safe operation (see figure)? (NCERT Exemplar)
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 5
Answer:
Here, P =1W, Vz = 5 V
Vs = 3V to 7 V
IZmax = \(\frac{P}{V_{Z}}=\frac{1}{5}=0.2 \mathrm{~A}\) = 200 mA
Rs = \(\frac{V_{s}-V_{z}}{I_{Z_{\max }}}=\frac{7-5}{0.2}=\frac{2}{0.2}\) = 10Ω

Question 5.
Draw V-I characteristics of a p-n junction diode. Answer the following questions, giving reasons:
(i) Why is the current under reverse bias almost independent of the applied potential upto a critical voltage?
(ii) Why does the reverse current show a sudden increase at the critical voltage?
Name any semiconductor device which operates under the reverse bias in the breakdown region.
Answer:
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 6
(i) In the reverse biasing, the current of order of μA is due to movement/drifting of minority charge carriers from one region to another through the junction. A small applied voltage is sufficient to sweep the minority charge carriers through the junction. So, reverse current is almost independent of critical voltage.

(ii) At critical voltage (or breakdown voltage), a large number of covalent bonds break, resulting in the increase of large number of charge carriers. Hence, current increases at critical voltage. Semiconductor device that is used in reverse biasing, is Zener diode.

Question 6.
How is a light-emitting diode fabricated? Briefly state its working. Write any two important advantages of LEDs over the conventional incandescent low power lamps.
Answer:
LED is fabricated by:
(i) heavy doping of both the p and n regions.
(ii) providing a transparent cover so that light can come out.

Working: When the diode is forward biased, electrons are sent from n →b p and holes from p → n. At the junction boundary, the excess minority carriers on either side of junction recombine with majority carriers. This releases energy in the form of photon hv = Eg
Advantages:

  • Low operational voltage and less power consumption.
  • Fast action and no warm-up time required.
  • Long life and ruggedness.
  • Fast on-off switching capability.

Question 7.
Explain, with the help of a circuit diagram, the working of a photodiode. Write briefly how it is used to detect the optical signals.
Or
(a) How is photodiode fabricated?
(b) Briefly explain its working. Draw its VI characteristics for two different intensities of illumination.
Or
With what considerations in view, a photodiode is fabricated?
State its working with the help of a suitable diagram.
Even though the current in the forward bias is known to be
more than in the reverse bias, yet the photodiode works in reverse bias. What is the reason?
Answer:
A photodiode is fabricated using photosensitive semiconducting material with a transparent window to allow light to fall on the junction of the diode.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 7
Working: In diode (any type of diode), an electric field ‘E’ exists across the junction from n-side to p-side, when light with energy hv greater than energy gap E2 (hv> Eg ) illuminate the junction, then electron-hole pairs are generated due to absorption of photons, in or near the depletion region of the diode. Due to existing electric fIeld, electrons are collected on n-side and holes are collected on p-side, giving rise to an emf. Due to the generated emf, an electric current of μA order flows through the external resistance.

Detection of Optical Signals: It is easier to observe the change in the current with change in the light intensity if a reverse bias is applied. Thus, photodiode can be used as a photodetector to detect optical signals. The characteristic curves of a photodiode for two different illuminations I1 and I2 (I2 > I1)are shown below
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 8

Question 8.
Describe briefly using the necessary circuit diagram, the three basic processes which take place to generate the emf in a solar cell when light falls on it. Draw the V-I characteristics of a solar cell. Write two important criteria required for the selection of a material for solar cell fabrication.
Answer:
The three basic processes which take place to generate the emf in a solar cell are generation, separation and collection.
(i) Generation of electron-hole pairs due to the light incident (with hv>Eg) close to the junction.
(ii) Separation of electrons and holes due to the electric field of the depletion region.
(iii) Collection of electrons and holes by n-side and p-side, respectively.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 9
Important criteria for the selection of a material for solar cell fabrication are:
(i) bandgap (~ 1.0 to 1.8 eV).
(ii) high optical absorption (-10 4 cm-1),
(iii) electrical conductivity.
(iv) availability of the raw material, and
(v) cost

PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics: Materials, Devices and Simple Circuits

Long answer type questions

Question 1.
(a) State briefly the process involved in the formation of p-n junction explaining clearly how the depletion region is formed.
(b) Using the necessary circuit diagrams, show how the V-I characteristics of a p-n junction are obtained in:
(i) Forward biasing
(ii) Reverse biasing
How are these characteristics made use of in rectification?
Or
Draw the circuit arrangement for studying the V-I characteristics of a p-n junction diode
(i) in forward bias and
(ii) in reverse bias. Draw the typical V-I characteristics of a silicon diode.
Describe briefly the following terms:
(i) “minority carrier injection” in forward bias
(ii) “breakdown voltage” in reverse bias.
Answer:
(a) Two processes occur during the formation of a p-n junction are diffusion and drift. Due to the concentration gradient across p and n-sides of the junction, holes diffuse from p-side to n-side (p → n) and electrons diffuse from n-side to p-side (n → p). This movement of charge carriers leaves behind ionised acceptors (negative charge Φ -immobile) on the p-side and donors (positive charge immobile) on the n-side of the junction. This space charge region on either side of the junction together is known as depletion region.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 10
(b) The circuit arrangement for studying the V-I characteristics of a diode are shown in figure (a) and (b). For different values of voltages, the value of current is noted. A graph between V and I is obtained as in figure (c). From the V-I characteristic of a junction diode, it is clear that it allows current to pass only when it is forward biased. So, if an alternative voltage is applied across a diode, the current flows only in that part of the cycle when the diode is forward biased. This property is used to rectify alternating voltages.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 11
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 12
(i) Minority Carrier Injection: Due to the applied voltage, electrons from n-side cross the depletion region and reach p-side (where they are minority carriers). Similarly, holes from p-side cross this junction and reach the n-side (where they are minority carriers). This process under forward bias is known as minority carrier injection.

(ii) Breakdown Voltage: It is critical reverse bias voltage at which current is independent of applied voltage.

Question 2.
State the principle of working of p-n diode as a rectifier. Explain with the help of a circuit diagram, the use of p-n diode as a full-wave rectifier. Draw a sketch of the input and output waveforms.
Or
Draw a circuit diagram of a full-wave rectifier. Explain the working principle. Draw the input/output waveforms indicating clearly, the functions of the two diodes used.
Or
With the help of a circuit diagram, explain the working of a junction diode as a full-wave rectifier. Draw its Input and output waveforms. Which characteristic property makes the junction diode suitable for rectification?
Answer:
Rectification: Rectification means conversion of AC into DC. A p-n diode acts as a rectifier because an AC changes polarity periodically and a p-n diode allows the current to pass only when it is forward biased. This makes the diode suitable for rectification.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 13
Working: The AC input voltage across secondary s1 and s2 changes polarity after each half cycle. Suppose during the first half cycle of input AC signal, the terminal S1 is positive relative to centre tap O and s2 is negative relative to O. Then diode D1 is forward biased and diode D2 is reverse biased. Therefore, diode D1 conducts while diode D2 does not. The direction of current (i1) due to diode D1 in load resistance RL is direction from A to B. In next half cycle, the terminal s1 is negative and s2 is positive relative to centre tap O.

The diode D1 is reverse biased and diode D2 is forward biased. Therefore, diode D2 conducts while D1 does not.
The direction of current (i2) due to diode D2 in load resistance RL is still from A to B. Thus, the current in load resistance RL is in the same direction for both half cycles of input AC voltage. Thus for input AC signal the output current is a continuous series of unidirectional pulses. In a full-wave rectifier, if input frequency is f hertz, then output frequency, will be 2f hertz because for each cycle of input, two positive half cycles of output are obtained.

Question 3.
Why is a Zener diode considered as a special purpose semiconductor diode? Draw the I-V characteristics of Zener diode and explain briefly, how reverse current suddenly Increase at the breakdown voltage? Describe briefly with the help of a circuit diagram, how a Zener diode works to obtain a constant DC voltage from the unregulated DC output of a rectifier.
Answer:
Zener diode works only in reverse breakdown region that is why it is, considered as a special purpose semiconductor. I – V characteristics of Zener diode is given below.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 14
Reverse current is due to the flow of electrons from n → p and holes from p → n. As, the reverse-biased voltage increase the electric field across the junction, increases significantly and when reverse bias voltage V = VZ, then the electric field strength is high enough to pull the electrons from p-side and accelerated it to n-side. These electrons are responsible for the high current at the breakdown.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 15
Voltage regulator converts an unregulated DC output of rectifier into a constant regulated DC voltage, using Zener diode. The unregulated voltage is connected to the Zener diode through a series resistance Rs such that the Zener diode is reverse biased. If the input voltage increase, then-current through Rs and Zener diode increases.

Thus, the voltage drop across Rs increase without any change in the voltage drop across zener diode. This is because of the breakdown region, Zener voltage remains constant even though the current through Zener diode changes.
Similarly, if the input voltage decreases, the current through Rs and Zener diode decreases. The voltage drop across Rs decreases without any change in the voltage across the Zener diode. Now, any change in input voltage results the change in voltage drop across Rs, without any changes; in voltage across the Zener diode. Thus, Zener diode acts as a voltage regulator.

PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics: Materials, Devices and Simple Circuits

Question 4.
(a) Differentiate between three segments of a transistor on the basis of their size and level of doping.
(b) How is a transistor biased to be in active state?
(c) With the help of necessary circuit diagram, describe briefly how n-p-n transistor in CE configuration amplifies a small sinusoidal input voltage. Write the expression for AC current gain.
Or
Explain with the help of a circuit diagram the working of n-p-n transistor as a common emitter amplifier.
Or
Draw the circuit diagram of a common-emitter amplifier using an n-p-n transistor. What is the phase difference between the input signal and output voltage? Draw the input and output waveforms of the signal. Write the expression for its voltage gain. State two reasons why a common emitter amplifier is preferred to a common base amplifier.
Answer:
(a) Emitter: It is of moderate size and heavily doped.
Base: It is very thin and lightly doped.
Collector: The collector side is moderately doped and larger in size as compared to the emitter.

(b) Transistor is said to be inactive state when its emitter-base junction is suitably forward biased and base-collector junction is suitably reverse biased.
(c) The circuit of common emitter amplifier using n-p-n transistor is shown below :
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 16
Working: If a small sinusoidal voltage, with amplitude VS is superposed on DC basic bias (by connecting the sinusoidal voltage in series with base supply VBB), the base current will have sinusoidal variations superimposed on the base current IB.

As a consequence the collector current is also sinusoidal variations superimposed on the value of collector current Ic, this will produce corresponding amplified changes in the value of output voltage V0.
The AC variations across input and output terminals may be measured by blocking the DC voltage by large capacitors. The phase difference between input signal and output voltage is 180°. The input and output waveforms are shown in figure.
PSEB 12th Class Physics Important Questions Chapter 14 Semiconductor Electronics Materials, Devices and Simple Circuits 17
Voltage gain,
Av = \(\beta \frac{R_{L}}{R_{i}}\)
AC current gain, βAC = \(\left(\frac{\Delta I_{C}}{\Delta I_{B}}\right)_{V_{C E}}\)
Reasons for Using a Common Emitter Amplifier
(i) Voltage gain is quite high.
(ii) Voltage gain is uniform over a wider frequency range or power gain is high.

PSEB 12th Class Biology Important Questions Chapter 12 Biotechnology and its Applications

Punjab State Board PSEB 12th Class Biology Important Questions Chapter 12 Biotechnology and its Applications Important Questions and Answers.

PSEB 12th Class Biology Important Questions Chapter 12 Biotechnology and its Applications

Very short answer type questions

Question 1.
State the role of transposons in silencing of mRNA in eukaryotic cells.
Answer:
Transposons or mobile genetic elements in viruses are the sources of the complementary dsRNA, which in turn bind to specific mRNA and cause RNA interference of the parasite.

Question 2.
How do interferons protect us?
Answer:
Interferons protect non-infected cells from further viral infections, by creating cytokine barriers.

PSEB 12th Class Biology Important Questions Chapter 12 Biotechnology and its Applications

Question 3.
State the role of C peptide in human insulin.
Answer:
C-peptide (extra stretch of polypeptide) makes the insulin inactive.

Question 4.
How are two short polypeptide chains of insulin linked [ together?
Answer:
Two short polypeptide chains of insulin are limced together by disulphide bridges.

Question 5.
How can bacterial DNA be released from the bacterial cell for biotechnology experiments?
Answer:
The bacterial cell wall is digested by the enzyme lysozyme to release 1 DNA from the cell.

Question 6.
Suggest any two possible treatments that can be given to a patient exhibiting adenosine deaminase deficiency.
Answer:

  • Enzyme replacement therapy (in which functional ADA is injected)
  • Bone marrow transplantation
  • Gene therapy/Culturing the lymphocytes followed by introduction of functional ADA cDNA into it and returning it into the patient’s body. (Any two)

Question 7.
Name a molecular diagnostic technique to detect the presence
of a pathogen in its early stage of infection.
Answer:
ELISA (Enzyme Linked Immunosorbent Assay)

PSEB 12th Class Biology Important Questions Chapter 12 Biotechnology and its Applications

Question 8.
What are transgenic animals. Uive an example.
Answer:
The transgenic animals are those that have their DNA manipulated to possess and express/foreign genes e.g.. transgenic cow-Rosie, rats, pigs fish, rabbits and mice.

Question 9.
What was the speciality of the milk produced by the transgenic cow, Rosie?
Answer:
The first transgenic cow, Rosie, produced milk with human alpha-lactalbumin which was nutritionally, more balanced product for human babies than natural cow milk.

Question 10.
What is biopiracy?
Answer:
Biopiracy refers to the use of bioresources by multinational companies and other organisations without proper authorisation from the country and people without compensatory payment.

Question 11.
Name the following:
(a) The semi-dwarf variety of wheat which is high-yielding and disease-resistant.
(b) Any one inter-specific hybrid mammal.
Answer:
(a) Kalyan Sona/Sonalika
(b) Mule/Hinny/Liger/Tigon

Question 12.
For which variety of Indian rice, patent was filed by a USA Company? [NCERT Exemplar]
Answer:
Indian Basmati was crossed with semi-dwarf variety and was claimed as a new variety for which the patent was filed by a USA company.

PSEB 12th Class Biology Important Questions Chapter 12 Biotechnology and its Applications

Question 13.
Name the enzymes that are used for the isolation of DNA from bacterial and fungal cells for recombinant DNA technology.
Answer:
Bacteria: lysozyme; fungi : chitinase.

Question 14.
Bt cotton is resistant to pest, such PS lepidopteran, dipterans and coleopter&ns. Is Bt cotton resistant to other pests as well? [NCERT Exemplar]
Answer:
Bt cotton is made resistant to only certain specific taxa of pests. It is quite likely that in future, some other pests may infest the Bt cotton plants. It is similar to immunisation against small-pox which does not provide immunity against other pathogens like those that cause cholera, typhoid, etc.

Short answer type questions

Question 1.
Explain the application of biotechnology in producing Bt-cotton.
Or One of the major contributions of biotechnology is to develop pest-resistant varieties of cotton plants. Explain how it has been made possible.
Or One of the main objectives of biotechnology is to minimise the use of insecticides on cultivated crops. Explain with the help of a suitable example how insect resistant crops have been developed using techniques of biotechnology.
Answer:
Production of Bt-cotton, a Pest Resistant Crop : Soil bacterium Bacillus thuringiensis possess gene called Cry-gene which synthesises an endotoxin protein called Cry-protein. Now, by biotechnology technique, the Cry gene from B. thuringiensis have been isolated, cloned, introduced and incorporated into cotton-plant using recombinant DNA technology. In the genetically modified cotton crop plants, the Cry or Bt-toxin gene expresses to produce a toxic insecticidal protein in an inactive form called prototoxin in crystalline state.

As an insect feeds over the plant, the inactive prototoxin crystals pass into the gut where alkaline pH and digestive enzymes solubilise the crystals and convert the prototoxin into an active toxin. The activated toxin creates pores in the midgut epithelial cells by lysing that cause death of the insect. Thus, the GM cotton plants do not require protection of expensive insecticides as they themselves act as bioinsecticides.

Since there are a number of Cry genes and Cry IAc and Cry II Ab controls the cotton bollworms while Cry IAb controls corn borer.

Question 2.
Write the functions of
(a) cry lAc gene
(b) RNA interference (RNAi)
Or Explain the process of RNA interference.
Answer:
(a) Cry IAc gene is present in Bacillus thuringiensisThe gene encodes for a toxic insecticidal protein during a particular phase of their growth. Cry genes are isolated and incorporated in the crop plant. The insect feeding on transgenic crop die because of the presence of toxin protein. Cry IAc produces Bt-toxins specific for cotton bollworm insect group.

(b) RNAi involves the silencing of a specific m-RNA due to the complementary ds-RNA molecule that binds to and prevents translation of m-RNA. As a result, parasite a favourable protein are not produced
and it could not infest, multiply and survive in a transgenic host expressing specific RNA interference. The transgenic plant, therefore, gets itself protected from the parasite such as nematode.

PSEB 12th Class Biology Important Questions Chapter 12 Biotechnology and its Applications

Question 3.
How did Eli Lilly synthesise the human insulin? Mention one difference between this insulin and the one produced by the human pancreas.
Or How did Eli Lilly Company go about preparing the human insulin? How is the insulin thus produced different from that produced by the functional human insulin gene?
Or How did an American Company, Eli Lilly use the knowledge of r-DNA technology to produce human insulin?
Or Explain how Eli Lilly, an American Company, Produced insulin by Recombinant DNA technology?
Answer:
Eli Lilly prepared two DNA sequences corresponding to A and B chains of human insulin and introduced them in plasmids of E. coli to produce insulin chains. Chains A and B were produced separately, extracted and combined by creating disulphide bonds to form human insulin.

Insulin in human pancreas is synthesised as a pro-hormone containing the C peptide, which is removed to form mature hormone. The synthesised insulin did not contain C peptide and was directly prepared
in mature form.

Question 4.
How is a mature functional insulin hormone different from its pro-hormone form? [NCERT Exemplar]
Answer:
Mature functional insulin is obtained by processing of pro-hormone which contains extra peptide called C-peptide. This C-peptide is removed during maturation of pro-insulin to insulin.

Question 5.
How does a transgenic organism differ from the rest of its population? Give any two examples of such organism for human advantage.
Answer:
A transgenic organism contains foreign gene, hence it differs from the rest of the population in having one or more extra genes apart from the gene pool of that population showing an additional phenotype. Example, (i) Transgenic E. coli, with gene for human insulin, (ii) Transgenic mouse with gene for human growth hormone.

Question 6.
What is GEAC and what are its objectives? [NCERT Exemplar]
Or Mention two objectives of setting up GEAC by our Government.
Or State the purpose for which the Indian Government has set up GEAC.
Or Describe the responsibility of GEAC, set up by the Indian Government.
Answer:
GEAG (Genetic Engineering Approval Committee) is an Indian government organisation. Its objective are to:
(a) examine the validity of GM (Genetic modification of organism) research.
(b) inspect the safety of introducing GM for public services.

PSEB 12th Class Biology Important Questions Chapter 12 Biotechnology and its Applications

Long answer type questions

Question 1.
List the disadvantages of insulin obtained from the pancreas of slaughtered cow and pigs. [NCERT Exemplar]
Answer:

  • Insulin being a hormone is produced in very little amounts in the body. Hence, a large number of animals need to be sacrificed for obtaining small quantities of insulin. This makes the cost of insulin very high, demand being manyfold higher than supply.
  • Slaughtering of animal is also not ethical.
  • There is potential of immune response in humans against the administered insulin which is derived from animals.
  • There is possibility of slaughtered animals being infested with some infectious micro-organism which may contaminate insulin.

PSEB 12th Class Biology Solutions Chapter 12 Biotechnology and its Applications

Punjab State Board PSEB 12th Class Biology Book Solutions Chapter 12 Biotechnology and its Applications Textbook Exercise Questions and Answers.

PSEB Solutions for Class 12 Biology Chapter 12 Biotechnology and its Applications

PSEB 12th Class Biology Guide Biotechnology and its Applications Textbook Questions and Answers

Question 1.
Crystals of Bt toxin produced by some bacteria do not kill the bacteria themselves because
(a) bacteria are resistant to the toxin,
(b) toxin is immature,
(c) toxin is inactive,
(d) bacteria encloses toxin in a special sac.
Answer:
Toxin is inactive: In bacteria, the toxin is present in an inactive form, called prototoxin, which gets converted into active form when it enters the body of an insect.

Question 2.
What are transgenic bacteria? Illustrate using any one example.
Answer:
Transgenic bacteria contain foreign gene that is intentionally introduced into its genome. They are manipulated to express the desirable gene for the production of various commercially important products.

An example of transgenic bacteria is E.coli. In the plasmid of E.coli, the two DNA sequences corresponding to A and B chain of human insulin are inserted, so as to produce the respective human insulin chains. Hence, after the insertion of insulin gene into the bacterium, it becomes transgenic and starts producing chains of human insulin. Later on, these chains are extracted from E.coli and combined to form human insulin.
PSEB 12th Class Biology Solutions Chapter 12 Biotechnology and its Applications 1

PSEB 12th Class Biology Solutions Chapter 12 Biotechnology and its Applications

Question 3.
Compare and contrast the advantages and disadvantages of production of genetically modified crops.
Answer:
The production of genetically modified (GM) or transgenic crops has several advantages.

  • Most of the GM crops have been developed for pest resistance, which increases the crop productivity and therefore, reduces the reliance on chemical pesticides.
  • Many varieties of GM food crops have been developed, which have enhanced nutritional quality. For example, golden rice is a transgenic variety of rice, which is rich in vitamin A.
  • These plants prevent the loss of fertility of soil by increasing the ‘
    efficiency of mineral usage.
  • They are highly tolerant to unfavourable abiotic conditions.
  • The use of GM crops decreases the post harvesting loss of crops.

However, there are certain controversies regarding the use of genetically modified crops around the world. The use of these crops can affect the native biodiversity in an area. For example, the use of Bt toxin to decrease the amount of pesticide is posing a threat for beneficial insect pollinators such as honey bee. If the gene expressed for Bt toxin gets expressed in the pollen, then the honey bee might be affected. As a result, the process of pollination by honey bees would be affected. Also, genetically modified crops are affecting human health. They supply allergens and certain antibiotic resistance markers in the body. Also, they can cause genetic pollution in the wild relatives of the crop plants. Hence, it is affecting our natural environment.

Question 4.
What are Cry proteins? Name an organism that produce it. How has man exploited this protein to his benefit?
Answer:
Cry proteins are encoded by cry genes. These proteins are toxins, which are produced by Bacillus thuringiensis bacteria. This bacterium contains these proteins in their inactive form. When the inactive toxin protein is ingested by the insect, it gets activated by the alkaline pH of the gut. This results in the lysis of epithelial cell and eventually the death of the insect. Therefore, man has exploited this protein to develop certain transgenic crops with insect resistance such as Bt cotton, Bt corn, etc.

Question 5.
What is gene therapy? Illustrate using the example of adenosine deaminase (ADA) deficiency.
Answer:
Gene therapy is a technique for correcting a defective gene through gene manipulation. It involves the delivery of a normal gene into the individual to replace the defective gene, for example, the introduction of gene for adenosine deaminase (ADA) in ADA deficient individual. The adenosine deaminase enzyme is important for the normal functioning of the immune system. The individual suffering from this disorder can be cured by transplantation of bone marrow cells. The first step involves the extraction of lymphocyte from the patient’s bone marrow. Then, a functional gene for ADA is introduced into lymphocytes with the help of retrovirus. These treated lymphocytes containing ADA gene are then introduced into the patient’s bone . marrow. Thus, the gene gets activated producing functional T-lymphocytes and activating the patient’s immune system.

PSEB 12th Class Biology Solutions Chapter 12 Biotechnology and its Applications

Question 6.
Diagrammatically represent the experimental steps in cloning and expressing an human gene (say the gene for growth hormone) into a bacterium like E. coli ?
Answer:
DNA cloning is a method of producing multiple identical copies of specific template DNA. It involves the use of a vector to carry the specific foreign DNA fragment into the host cell. The mechanism of cloning and transfer of gene for growth hormone into E.coli is represented below:
PSEB 12th Class Biology Solutions Chapter 12 Biotechnology and its Applications 2

Question 7.
Can you suggest a method to remove oil (hydrocarbon) from seeds based on your understanding of rDNA technology and chemistry of oil?
Answer:
Recombinant DNA technology (rDNA) is a technique used for manipulating the genetic material of an organism to obtain the desired result. For example, this technology is used for removing oil from seeds. The constituents of oil are glycerol and fatty acids. Using rDNA, one can obtain oilless seeds by preventing the synthesis of either glycerol or fatty acids. This( is done by removing the specific gene responsible for the synthesis.

Question 8.
Find out from internet what is golden rice.
Answer:
Golden rice is a genetically modified variety of rice, Oryza sativa, which has been developed as a fortified food for areas where there is a shortage of dietary vitamin A. It contains a precursor of pro-vitamin A, called beta-carotene, which has been introduced into the rice through genetic engineering. The rice plant naturally produces beta-carotene pigment in its leaves. However, it is absent in the endosperm of the seed. This is because beta-carotene pigment helps in the process of photosynthesis while photosynthesis does not occur in endosperm.

Since beta-carotene is a precursor of pro-vitamin A, it is introduced into the rice variety to fulfil the shortage of dietary vitamin A. It is simple and a less expensive alternative to vitamin supplements. However, this variety of rice has faced a significant opposition from environment activists. Therefore, they are still not available in market for human consumption.

PSEB 12th Class Biology Solutions Chapter 12 Biotechnology and its Applications

Question 9.
Does our blood have proteases and nucleases?
Answer:
No, human blood does not include the enzymes, nucleases and proteases. In human beings, blood serum contains different types of protease inhibitors, which protect the blood proteins from being broken down by the action of proteases. The enzyme, nucleases, catalyses the hydrolysis of nucleic acids that is absent in blood.

Question 10.
Consult internet and find out how to make orally active protein pharmaceutical. What is the major problem to be encountered?
Answer:
Orally active protein pharmaceutical can be made by lining it with a substance that will dissolve after it has passed through the stomach.
The major problem encountered is that the stomach enzymes and acids may denature the therapeutic protein and render it ineffective.

PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields

Punjab State Board PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields Important Questions and Answers.

PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields

Very short answer type questions

Question 1.
Define electrostatics.
Answer:
Electrostatics deals with the study of forces, fields and potentials arising from static charges.

Question 2.
Define charge.
Answer:
It is defined as the basic and characteristic property of elementary particles of matter in the form of which certain force of interaction energies may be explained.

PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields

Question 3.
What are the behaviour of charges?
Answer:
Like charges repel and unlike charges attract each other.

Question 4.
Define the polarity of charge.
Answer:
The property which differentiates the two kinds of charges is called the polarity of charge.

Question 5.
Who first assigned the positive and negative signs to charge?
Answer:
Benjamin Franklin

Question 6.
What are conductors?
Answer:
The substances which allow electricity to pass through them easily are called conductors e.g., metals, human, earth etc.

Question 7.
What are insulators?
Answer:
Most of the non-metals like glass, porcelain, plastic, nylon, wood offer high resistance to the passage of electricity through them, they are called insulators.

PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields

Question 8.
Define the semiconductors.
Answer:
The substances which offer resistance to the movement of charges are called semiconductors. They are intermediate between conductors and insulators,

Question 9.
What are point charges?
Answer:
If the sizes of charged bodies are very small as compared to the distances between them, they are called point charges.

Question 10.
Write the law of conservation of charges.
Answer:
“The total charge of the isolated system is always conserved.” It is not possible to create or destroy net charge carried by isolated system although the charge carrying particles may be created or destroyed in a process.

Question 11.
The dimensions of an atom are of the order of an Angstrom. Thus there must be large electric fields between the protons and electrons. Why then is the electrostatic field inside a conductor zero? (NCERT Exemplar)
Answer:
The electric fields bind the atoms to neutral entity. Fields are caused by excess charges. There can be no excess charge on the inner surface of an isolated conductor. So, the electrostatic field inside a conductor is zero.

Question 12.
An arbitrary surface encloses a dipole. What is the electric flux through this surface? (NCERT Exemplar)
Answer:
Net charge on a dipole = -q + q = 0. According to Gauss’s theorem, electric flux through the surface,
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 1

PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields

Question 13.
Sketch the electric field lines for a uniformly charged hollow cylinder shown in figure. (NCERT Exemplar)
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 2
Answer:
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 3

Short answer type questions

Question 1.
Describe the gold-leaf electroscope.
Question
A simple apparatus to detect charge on a body is the gold-leaf electroscope. It consists of a vertical metal rod housed in a box, with two thin gold leaves attached to its bottom end. When a charged object touches the metal knob at the top of the rod, charge flows on to the leaves and they diverge. The degree of divergence is an indicator of the amount of charge.

Question 2.
Define the grounding or earthing.
Answer:
When we bring a charged body in contact with the earth, all the excess charge on the body disappears by causing a momentary current to pass to the ground through the connecting conductor (such as our body). This process of sharing the charges with the earth is called grounding or earthing.

Question 3.
What is the importance of earthing in buildings?
Answer:
Earthing provides a safety measure for electrical circuits and appliances. A thick metal plate is buried deep into the earth and thick wires are drawn from this plate; these are used in buildings for the purpose of earthing near the mains supply. The electric wiring in our houses has three wires; live, neutral and earth. The first two carry electric current from the power station and the third is earthed by connecting it to the buried metal plate. Metallic bodies of the electric appliances such as electric iron, refrigerator, TV are connected to the earth wire. When any fault occurs or live wire touches the metallic body the charge flows to the earth without damaging the appliance and without causing any injury to the humans; this would have otherwise been unavoidable since the human body is a conductor of electricity.

PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields

Question 4.
Describe the additivity of charges in brief.
Answer:
If a system contains two point charges q1 and q2, the total charge of the system is obtained simply by adding algebraically qi and q2, i. e., charges add up like real numbers or they are scalars like the mass of a body. If a system contains n charges q1, q2, q3,……, qn, then the total charge of the system is q1 + q2 + q3 + … + qn. Charge has magnitude but no direction, similar to the mass. However, there is one difference between mass and charge. Mass of a body is always positive whereas a charge can be either positive or negative. Proper signs have to be used while adding the charges in a system. For example, the total charge of a system containing five charges +1, +2, -3, +4 and -5, in some arbitrary unit, is (+1) + (+2) + (-3) + (+4) + (-5) = -1 in the same unit.

Question 5.
(a) Define electric flux. Write its SI unit.
(b) A small metal sphere carrying charge +Q is located at the centre of a spherical cavity inside a large uncharged metallic spherical shell as shown in the figure. Use Gauss’s law to find the expressions for the electric field at points P1 and P2.
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 4
(c) Draw the pattern of electric field lines in this arrangement.
Answer:
(a) Electric flux over an area in an electric field represents the total number of electric field lines crossing this area and is given by the product of surface area and the component of electric field intensity normal to the area.
The SI unit of flux is Nm2C-1.

(b) Let point P1 is at distance R from the centre 0.
S1 is the Gaussian surface, then according to Gauss’s theorem
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 5
Inside the shell the charge is zero, so the field is also zero
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 6
(c) The direction of electric field is shown in figure.

Question 6.
A metallic spherical shell has an inner radius R1 and outer radius R2– A charge Q is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface? (NCERT Exemplar)
Answer:
When a charge +Q is placed at the centre of spherical cavity,
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 7
The charge induced on the inner surface = -Q
The charge induced on the outer surface = +Q
∴ Surface charge density on the inner surface = \(\frac{-Q}{4 \pi R_{1}^{2}}\)
Surface charge density on the outer surface = \(\frac{+Q}{4 \pi R_{2}^{2}}\)

PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields

Question 7.
Two charges q and -3q are placed fixed on x-axis separated by distance id\ Where should a third charge 2q be placed such that it will not experience any force? (NCERT Exemplar)
Answer:
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 8
Let the charge 2q be placed at point P as shown. The force due to q is to the left and that due to -3q is to the right.
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 9

Long answer type questions

Question 1.
How can you charge a metal sphere positively without touching it?
Answer:
Figure (a) shows an uncharged metallic sphere on an insulating metal stand. Bring a negatively charged rod close to the metallic sphere, as shown in Fig. (b). As the rod is brought close to the sphere, the free electrons in the sphere move away due to repulsion and start piling up at the farther end. The near end becomes positively charged due to deficit of electrons. This process of charge distribution stops when the net force on the free electrons inside the metal is zero. Connect the sphere to the ground by a conducting wire. The electrons will flow to the ground while the positiye charges at the near end will remain held there due to the attractive force of the negative charges on the rod, as shown in Fig. (c). Disconnect the sphere from the ground. The positive charge continues to be held at the near end [Fig.(d)]. Remove the electrified rod. The positive charge will spread uniformly over the sphere as shown in Fig. (e).
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 10
In this experiment, the metal sphere gets charged by the process of induction and the rod does not lose any of its charge.

Similar steps are involved in charging a metal sphere negatively by induction, by bringing a positively charged rod near it. In this case the electrons will flow from the ground to the sphere when the sphere is connected to the ground with a wire.

PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields

Question 2.
Define electric dipole moment. Is it a scalar or a vector? Derive the expression for the electric field of a dipole at a point on the equatorial plane of the dipole.
Answer:
Electric Dipole Moment : The strength of an electric dipole is measured by the quantity electric dipole moment. Its magnitude is equal to the product of the magnitude of either charge and the distance between the two charges.
Electric dipole moment,
p = q × d
It is a vector quantity.
In vector form it is written as \(\), where the direction of \(\) is from negative charge to positive charge.
Electric field of dipole at points on the equatorial plane:
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 11
The magnitudes of the electric field due to the two charges + q and – q are given by,
PSEB 12th Class Physics Important Questions Chapter 1 Electric Charges and Fields 12

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Punjab State Board PSEB 12th Class Physics Book Solutions Chapter 1 Electric Charges and Fields Textbook Exercise Questions and Answers.

PSEB Solutions for Class 12 Physics Chapter 1 Electric Charges and Fields

PSEB 12th Class Physics Guide Electric Charges and Fields Textbook Questions and Answers

Question 1.
What is the force between two small charged spheres having charges of 2 × 10-7 C and 3 × 10-7 C placed 30 cm apart in air?
Answer:
Charge on the first sphere, q1 = 2 × 10-7 C
Charge on the second sphere, q2 = 3 × 10-7 C
Distance between the spheres, r = 30 cm = 0.3 m
Electrostatic force between the spheres is given by the relation,
F = \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{1} q_{2}}{r^{2}}\)
where, ε0 = Permittivity of free space
F = \(\frac{9 \times 10^{9} \times 2 \times 10^{-7} \times 3 \times 10^{-7}}{(0.3)^{2}}\)
= 6 × 10-3 N
Hence, force between the two small charged spheres is 6 × 10-3 N. The charges are of same nature. Hence, force between them will be repulsive.

Question 2.
The electrostatic force on a small sphere of charge
0.4 μC due to another small sphere of charge -0.8 μC in air is 0.2 N.
(a) What is the distance between the two spheres?
(b) What is the force on the second sphere due to the first?
Answer:
Electrostatic force on the first sphere, F = 0.2 N
Charge on this sphere, q1 = 0.4 μC = 0.4 × 10-6C
Charge on the second sphere, q2 = -0.8 μC = -0.8 × 10-6C

(a) Electrostatic force between the spheres is given by the relation,
F = \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{1} q_{2}}{r^{2}}\)
where, ε0 = Permittivity of free space
r2 = \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{1} q_{2}}{F}\)
= \(=\frac{0.4 \times 10^{-6} \times 0.8 \times 10^{-6} \times 9 \times 10^{9}}{0.2}\)
= 16 × 9 × 10-4 = 144 × 10-4
= \(\sqrt{144 \times 10^{-4}}\) = 0.12 m
The distance between the two spheres is 0.12 m.

(b) Force on q2 due to q1= ?
We know that electrostatic forces always, appear in priors and follow Newton’s 3rd law of motion.
∴ \(\left|\vec{F}_{21}\right|\) = Force on q2 due to q1
= 0.2 N and it is attractive in nature
We now that,
F21 = \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{1} q_{2}}{r_{21}^{2}}\)

On substituting the values, we get
F21 = 9 × 109 × \(\frac{\left(0.4 \times 10^{-6}\right) \times\left(0.8 \times 10^{-6}\right)}{(0.12)^{2}}\)
= 0.2 N

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 3.
Check that the ratio ke2 / Gmemp is dimensionless. Look up a
table of physical constants and determine the value of this ratio. What does the ratio signify?
Answer:
The given ratio is \(\frac{k e^{2}}{G m_{e} m_{p}}\)
where, G = Gravitational constant
Its unit is Nm2kg-2.
mp and mp = Masses of electron and proton
Their unit is kg.
e = Electric charge Its unit is C.
k = A constant = \(=\frac{1}{4 \pi \varepsilon_{0}}\)
Its unit is N m2C-2.
Therefore, unit of the given ratio
\(\frac{k e^{2}}{G m_{e} m_{p}}\) = \(\frac{\left[\mathrm{Nm}^{2} \mathrm{C}^{-2}\right]\left[\mathrm{C}^{-2}\right]}{\left[\mathrm{Nm}^{2} \mathrm{~kg}^{-2}\right][\mathrm{kg}][\mathrm{kg}]}\) = M0L0T0
Hence, the given ratio is dimensionless.
e = 1.6 × 10-19 C
G = 6.67 × 10-11 N m2kg-2
me = 9.1 × 10-31 kg
mp = 1.67 × 10-27 kg
Hence, the numerical value of the given ratio is
\(\frac{k e^{2}}{G m_{e} m_{p}}\) = \(\frac{9 \times 10^{9} \times\left(1.6 \times 10^{-19}\right)^{2}}{6.67 \times 10^{-11} \times 9.1 \times 10^{-31} \times 1.67 \times 10^{-27}}\)
≈ 2.3 × 1039
This is the ratio of electric force to the gravitational force between a proton and an electron, keeping distance between them constant.

Question 4.
(a) Explain the meaning of the statement ‘electric charge of a body is quantised’.
(b) Why can one ignore quantisation of electric charge when dealing with macroscopic i. e., large scale charges?
Answer:
(a) Electric charge of a body is quantised. This means that only integral (1, 2 …………,n) number of electrons can be transferred from one body to the other. Charges are not transferred in fraction. Hence, a body possesses total charge only in integral multiples of electric charge.

(b) In macroscopic or large scale charges, the charges used are huge as compared to the magnitude of electric charge. Hence, quantisation of electric charge is of no use on macroscopic scale. Therefore, it is ignored and it is considered that electric charge is continuous.

Question 5.
When a glass rod is rubbed with a silk cloth, charges appear on both. A similar phenomenon is observed with many other pairs of bodies. Explain how this observation is consistent with the law of conservation of charge.
Answer:
Rubbing produces charges of equal magnitude but of opposite nature on the two bodies because charges are created in pairs. This phenomenon of charging is called charging by friction. The net charge on the system of two rubbed bodies is zero. This is because equal amount of opposite charges annihilate each other. When a glass rod is rubbed with a silk cloth, opposite natured charges appear on both the bodies. This phenomenon is in consistence with the law of conservation of energy. A similar phenomenon is observed with many other pairs of bodies.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 6.
Four point charges qA = 2 μC, qB = -5 μC, qC = 2 μC and qD) = -5 μC are located at the comers of a square ABCD of side 10 cm. What is the force on a charge of 1 μC placed at the centre of the square?
Answer:
Consider the square ABCD of each side 10 cm and centre O. The charge of 1 μC is placed at O.
Now clearly, OA = OB =OC = OD
AB = BC – 10 cm = 0.1 m
AO = \(\frac{1}{2}\) AC = \(\frac{1}{2} \sqrt{A B^{2}+B C^{2}}\) = \(\frac{1}{2}\) × √2 AB
= \(\frac{1}{\sqrt{2}}\) × 0.1 m = OB = OC = OD
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 1
Here,qA = 2μC, qB = -5μC,qC = 2 μC,qD = -5μC
Clearly qA = qC = 2μC = 2 × 10-6C
and qB = qD = -5 μC = -5 × 10-6C
Since qA = qC, the charge of 1 μC will experience equal and opposite forces due to the charges qA and qC i. e., along OC and OA respectively. Their magnitudes are
FA = FC = \(\frac{1}{4 \pi \varepsilon_{0}} \times \frac{q_{A} \times 1 \mu \mathrm{C}}{A O^{2}}\)
\(\frac{9 \times 10^{9} \times 2 \times 10^{-6} \times 10^{-6}}{\left(\frac{1}{\sqrt{2}} \times 0.1\right)^{2}}\) = 3.6N
∴ \(\vec{F}_{A}=-\vec{F}_{C}\)
Similarly FB = FD, the charge of 1 μC will experience equal and opposite forces due to the charge qB and qD i. e., along OB and OD respectively, thus
\(\overrightarrow{F_{B}}=-\overrightarrow{F_{D}}\).
Thus the net force on the charge ofl μC due to the given arrangement of charges is zero i.e.,
\(\vec{F}=\vec{F}_{A}+\vec{F}_{B}+\vec{F}_{C}+\vec{F}_{D}\) = 0

Question 7.
(a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
Explain why two field lines never cross each other at any point?
Answer:
(a) An electrostatic field line is a continuous curve because a charge experiences a continuous force when traced in an electrostatic field. The field line cannot have sudden breaks because the charge moves continuously and does not jump from one point to the other.

(b) If two field lines cross each other at a point, then electric field intensity will show two directions at that point. This is not possible. Hence, two field lines never cross each other.

Question 8.
Two point charges qA = 3 μC and qB = -3 μC are located 20 cm apart in vacuum.
(a) What is the electric field at the midpoint O of the line AB joining the two charges?
(b) If a negative test charge of magnitude 1.5 × 10-9C is placed at this point, what is the force experienced by the test charge?
Answer:
(a) The situation is represented in the given figure. O is the mid-point of line AB.
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 2
Distance between the two charges, AB = 20 cm
∴ AO = OB =10 cm
Net electric field at point O = E
Magnitude of electric field at point 0 caused by + 3 μC charge,
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 3
[Since the values of E1 and E2 are same, the value is multiplied with 2]
= 5.4 × 106 N/C along OB
Therefore, the electric field at mid-point O is 5.4 × 106 NCT-1 along OB.

(b) A test charge of amount 1.5 × 10-9 C is placed at mid-point O.
According to question, q = -1.5 × 10-9 C
Force experienced by the test charge = F
F = qE
= -1.5 × 10-9 × 5.4 × 106
= -8.1 × 10-3 N
The force is directed along line QA. This is because the negative test charge is repelled by the charge placed at point B but attracted towards point A.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 9.
A system has two chargesg qA = 2.5 × 10-7C andqA = -2.5 × 10-7 located at points A : (0, 0, -15 cm) and B: (0, 0, +15 cm), respectively. What are the total charge and electric dipole moment of the system?
Answer:
Both the charges can be located in a coordinate frame of reference as shown in the given figure At A, amount of charge,
qA =2.5 × 10-7C
At B, amount of charge,
qB = -2.5 × 10-7C
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 4
Total charge of the system,
q = qA + qB
= 2.5 × 10-7 C-2.5 × 10-7C
= 0
Distance between two charges at points A and B,
d. =15 + 15 = 30 cm = 0.3 m
Electric dipole moment of the system is given by,
p = qA × d = qB × d.
= 2.5 × 10-7 × 0.3
= 7.5 × 10-8 Cm along positive z-axis
Therefore, the electric dipole moment of the system is 7.5 × 10-8C m along positive z-axis.

Question 10.
An electric dipole with dipole moment 4 × 10-9 C m is aligned at 30° with the direction of a uniform electric field of magnitude 5 × 104NC-1. Calculate the magnitude of the torque acting on the dipole.
Answer:
Electric dipole moment, p = 4 × 10-9 C m
Angle made by p with a uniform electric field, 0 = 30°
Electric field, E = 5 × 104NC-1
Torque acting on the dipole is given by the relation,
τ = pE sinθ
= 4 × 10-9 × 5 × 104 × sin30
= 20 × 10-5 \(\frac{1}{2}\)
= 10-4 Nm
Therefore, the magnitude of the torque acting on the dipole is 10-4 N m.

Question 11.
A polythene piece rubbed with wool is found to have a negative charge of 3 × 10-7C.
(a) Estimate the number of electrons transferred (from which to which?)
(b) Is there a transfer of mass from wool to polythene?
Answer:
(a) When polythene is rubbed with wool, a number of electrons get transferred from wool to polythene. Hence, wool becomes positively charged and polythene becomes negatively charged.
Amount of charge on the polythene piece, q = -3 × 10-7 C
Amount of charge on an electron, e = -1.6 × 10-19C
Number of electrons transferred from wool to polythene = n
n can be calculated using the relation,
> q = ne
n = \(\frac{q}{e}\)
= \(\frac{-3 \times 10^{-7}}{-1.6 \times 10^{-19}}\)
= 1.87 × 1012
Therefore, the number of electrons transferred from wool to polythene is 1.87 × 1012.

(b) Yes.
There is a transfer of mass taking place. This is because an electron has mass,
me = 9.1 × 10-31 kg
Total mass transferred to polythene from wool,
m = me × n
= 9.1 × 10-31 × 1.87 × 1012
= 1.706 × 10-18 kg
Hence, a negligible amount of mass is transferred from wool to polythene.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 12.
(a) Two insulated charged copper spheres A and B have their centres separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is 6.5 × 10-7 C ? The radii of A and B are negligible compared to the distance of separation.
(b) What is the force of repulsion if each sphere is charged double the above amount, and the distance between them is halved?
Answer:
(a) Charge on sphere A, qA = Charge on sphere B, qB = 6.5 × 10-7 C
Distance between the spheres, r = 50 cm = 0.5 m
Force of repulsion between the two spheres,
F = \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{A} q_{B}}{r^{2}}\)
∴ F = \(=\frac{9 \times 10^{9} \times\left(6.5 \times 10^{-7}\right)^{2}}{(0.5)^{2}}[latex]
= 1.52 × 10-2 N
Therefore, the force between the two spheres is 1.52 × 10-2 N.

(b) After doubling the charge, charge on sphere A, qA = charge on sphere
B, qB = 2 × 6.5 × 10-7 C = 1.3 × 10<>-6 C
The distance between the spheres is halved
∴ r = [latex]\frac{0.5}{2}\) = 0.25 m
Force of repulsion between the two spheres,
F = \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q_{A} q_{B}}{r^{2}}\)
∴ F = \(\frac{9 \times 10^{9} \times 1.3 \times 10^{-6} \times 1.3 \times 10^{-6}}{(0.25)^{2}}\)
= 16 × 1.52 × 10-2 = 0.243 N Therefore, the force between the two spheres is 0.243 N.

Question 13.
Suppose the spheres A and B in exercise 1.12 have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B ?
Answer:
Distance between the spheres, A and B,r = 0.5 m
Initially, the charge on each sphere, q = 6.5 × 10 -7 C
When sphere A is touched with an uncharged sphere C, \(\frac{q}{2}[latex] amount of
charge from A will transfer to sphere C. Hence, charge on each of the spheres, A and C is [latex]\frac{q}{2}\).
When sphere C with charge \(\frac{q}{2}\) is brought in contact with sphere B with
charge q, total charges on the system will divide into two equal halves given as,
\(\frac{\frac{q}{2}+q}{2}=\frac{3 q}{4}\)
Each sphere will each half. Hence, charge on each of the spheres, C and B, is \(\frac{3 q}{4}\).
Force of repulsion between sphere A having charge \(\frac{q}{2}\) and sphere B having
charge \(\frac{3 q}{4}\)
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 5
= 5.703 × 10-3 N
Therefore, the force of attraction between the two spheres is 5.703 × 10-3 N.

Question 14.
Figure 1.33 shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 6
Answer:
Opposite charges attract each other and same charges repel each other. It can be observed that particles 1 and 2 both move towards the positively charged plate and repel away from the negatively charged plate. Hence, these two particles are negatively charged. It can also be observed that particle 3 moves towards the negatively charged plate and repels away from the positively charged plate. Hence, particle 3 is positively charged. The charge to mass ratio (emf) is directly proportional to the displacement or amount of deflection for a given velocity. Since the deflection of particle 3 is the maximum, it has the highest charge to mass ratio.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 15.
Consider a uniform electric field E = 3 × 103 î N/C. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane? (b) What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?
Answer:
Here, \(\overrightarrow{\vec{E}}\) = 3 × 103 î NC-1 i.e., the electric field acts along positive direction of x-axis.
Side of square = 10 cm
∴ Its surface area, ΔS = (10 cm)2 = 10-2 m2
or Δ\(\overrightarrow{\vec{S}}\) = 10-2 î m2
as normal to the square is along x-axis.

(a) If Φ be the electric flux through the square, then
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 7
Φ = \(\vec{E} \cdot \Delta \vec{S}\)
= (3 × 103î) .(10-2)
= 3 × 103 × 10-2 î .î
= 3 × 10 = 30 Nm2C-1

(b) Here, angle between normal to the square i.e., area vector and the electric field is 60°. i.e.,
θ = 60°
∴ Φ = \(\overrightarrow{\vec{E}}\). Δ \(\overrightarrow{\vec{S}}\) = E. Δ S cos60°
= 3 × 103 × 10-2 × \(\frac{1}{2}\)
= 15Nm2C-1
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 8

Question 16.
What is the net flux of the uniform electric field of exercise 1.15 through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes?
Answer:
All the faces of a cube are parallel to the coordinate axes. Therefore, the number of field lines entering the cube is equal to the number of field lines piercing out of the cube. As a result, net flux through the cube is zero.

Question 17.
Careful measurement of the electric field at the surface of a black box indicates that the net outward flux through the surface of the box is 8.0 × 103 N m2 / C. (a) What is the net charge inside the box? (b) If the net outward flux through the surface of the box were zero, could you conclude that there were no charges inside the box? Why or Why not?
Answer:
(a) Net outward flux through the surface of the box Φ = 8.0 × 103 N m2 / C
For a body containing net charge q, flux is given by the relation,
Φ = \(\)
q = ε0Φ)
= 8.854 × 10-12 × 8.0 × 103
(∵ ε0 = 8.854 × 10-12N-1C2m-2) = 7.08 × 10-8
= 0.07 µC
Therefore, the net charge inside the box is 0.07 pC.

(b) No.
Net flux piercing out through a body depends on the net charge contained in the body. If net flux is zero, then it can be inferred that net charge inside the body is zero. The body may have equal amount of positive and negative charges.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 18.
A point charge +10 µC is a distance 5 cm directly above the centre of a square of side 10 cm, as shown in Fig. 1.34. What is the magnitude of the electric flux through the square? (Hint : Think of the square as one face of a cube with edge 10 cm.)
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 9
Answer:
The square can be considered as one face of a cube of edge 10 cm with a centre where charge q is placed. According to Gauss’s theorem for a cube, total electric flux is through all its six faces.
Φ total = \(\frac{q}{\varepsilon_{0}}\)
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 10
Hence, electric flux through one face of the cube i. e., through the square,
Φ = \(\frac{\phi_{\text {Total }}}{6}=\frac{1}{6} \frac{q}{\varepsilon_{0}}\)
ε0 = 8.854 × 10-12 N-1C2m-2
q = 10 µC =10 × 10-6C
Φ = \(\frac{1}{6} \times \frac{10 \times 10^{-6}}{8.854 \times 10^{-12}}\)
= 1.88 × 105 N m2 C-1
Therefore, electric flux through the square is 1.88 × 105 N m2 C-1.

Question 19.
A point charge of 2.0 µC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
Answer:
Net electric flux (Φ Net) through the cubic surface is given by,
Φ Net = \(\frac{q}{\varepsilon_{0}}\)
ε0 = 8.854 × 10-12 N-1C2m-22 q q = Net charge contained inside the cube
= 20 µC = 2 × 10-6C
∴ Φ Net = \(\frac{2 \times 10^{-6}}{8.854 \times 10^{-12}}\)
∴ Φ Net = \(\frac{2 \times 10^{-6}}{8.854 \times 10^{-12}}\)
= 2.26 × 105 Nm2C-1
The net electric flux through the surface is = 2.26 × 105 Nm2C-1

Question 20.
A point charge causes an electric flux of -1.0 × 103 Nm2 /C to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge, (a) If the radius of the Gaussian surface were doubled, how much flux would pass through the surface? (b) What is the value of the point charge?
Answer:
Electric flux, Φ = -1.0 × 103 Nm2/C
Radius of the Gaussian surface,
r = 10.0 cm

(a) Electric flux piercing out through a surface depends on the net charge enclosed inside a body. It does not depend on the size of the body. If the radius of the Gaussian surface is doubled, then the flux passing through the surface remains the same i. e., -1.0 × 103 

(b) Electric flux is given by the relation,
Φ = \(\frac{q}{\varepsilon_{0}}\)
q = Φε0
= -1.0 × 103 × 8.854 × 10-12
= -8.854 × 10-9 C
= -8.854 nC
Therefore, the value of the point charge is -8.854 nC.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 21.
A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5 × 103 N/C and points radially inward, what is the net charge on the sphere?
Answer:
Here R = radius of the conducting sphere = 10 cm = 0.10 m
r = distance of the point from centre of sphere = 20 cm = 0.20 m Clearly
r > R
E = electric field at a point at a distance of 20 cm from the sphere = 1.5 × 103 NC -1acting inward.
q = net charge on the sphere = ?
Using the formula, E = \(\frac{1}{4 \pi \varepsilon_{0}} \cdot \frac{q}{r^{2}}\) We get
q = 4πε0Er2 = \(\frac{1}{9 \times 10^{9}}\) × 1.5 × 10<>3 × (0.20)2
= 6.67 × 10-9C =6.67 nC
Also as E acts in the inward direction, so charge on the sphere is negative.
q = -6.67 × 10-9C -6.67nC

Question 22.
A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 μC / m2. (a) Find the charge on the sphere, (b) What is the total electric flux leaving the surface of the sphere?
Answer:
Diameter of the sphere, d = 2.4 m
Radius of the sphere, r = 1.2 m
Surface charge density, σ = 80.0 μC / m2 = 80 × 10 -6C / m2

(a) Total charge on the surface of the sphere,
q = Charge density × Surface area = σ × 4πr2
= 80 × 10-6 × 4 × 3.14 × (1.2)2 = 1.447 × 10-3 C
Therefore, the charge on the sphere is 1.447 × 10-3 C.

(b) Total electric flux (Φ Total) leaving out the surface of a sphere containing net charge q is given by the relation,
Φ Total = \(\frac{q}{\varepsilon_{0}}\)
ε0 = 8.854 × 10-12 N-1C2m-2
q = 1.447 × 10-3 C
Φ Total = \(\frac{1.44 \times 10^{-3}}{8.854 \times 10^{-12}}\)
= 1.63 × 108 NC-1 m2
Therefore, the total electric flux leaving the surface of the sphere is 1.63 × 108 NC-1 m2.

Question 23.
An infinite line charge produces a field of 9 × 104 N/C-1 at a distance of 2 cm. Calculate the linear charge density.
Answer:
Here E = electric field produced by infinite line charge = 9 × 104 NC-1.
r = distance of the point where E is produce = 2 cm = 0.02 m.
λ = linear charge density = ?
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 11

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 24.
Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.0 × 10-22 C/m2. What is E : (a) in the outer region of the first plate, (b) in the outer region of the second plate, and (c) between the plates?
Answer:
The situation is represented in the following figure:
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 12
A and B are two parallel plates close to each other. Outer region of plate A is labelled as I, outer region of plate B is labelled as III, and the region between the plates, A and B is labelled as II.

(a) Charge density of plate A,
σ = 17.0 × 10-22 C/m2
Charge density of plate B,
σ = -17.0 × 10-22 C/ m2
In the regions, I and III, electric field E is zero. This is because charge is not enclosed by the respective plates.

(b) Electric field E in region II is given by the relation,
E = \(\frac{\sigma}{\varepsilon_{0}}\)
where, ε0 = Permittivity of free space
= 8.854 × 10-12N-1C2m-2
E = \(\frac{17.0 \times 10^{-22}}{8.854 \times 10^{-12}}\)
= 1.92 × 10-10 N/C
Therefore, electric field between the plates is 1.92 × 10-10 N/C.

Question 25.
An oil drop of 12 excess electrons is held stationary under a constant electric field of 2.55 × 104 NC-1 in Millikan’s oil drop experiment. The density of the oil is 1.26 g cm-3. Estimate the radius of the drop. (g = 9.81 ms-2, e = 1.60 × 10-9 C).
Answer:
Here, E = constant electric field = 2.55 × 104 NC-1, e = charge of an electron = 1.6 × 10-19 C, n = no. of electrons = 12
If q = charge on the drop, then
q = ne = 12 × 1.6 × 10-19 C = 19.2 × 10-19 C
If Fe be the electrostatic force on the oil drop due to electric field, then
Fe = qE = 19.2 × 10-19 × 2.55 × 104 …………..(1)
Also let Fg = Force on the drop due to gravity, then
Fg = mg = \(\frac{4}{3}\) πr3ρg …………… (2)
Here ρ = density of oil = 1.26 g cm-3
= 1.26 × 10-3 kg(10-2 m)-3
= 1.26 × 103 kg m-3 g
g = 9.81 ms-2
r = radius of the drop = ?
Putting these values in equation (2), we get
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 13

Question 26.
Which among the curves shown in Fig. 1.35 cannot possibly represent electrostatic field lines?
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 14
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 15
Answer:
(a) The field lines showed in (a) do not represent electrostatic field lines because field lines must be normal to the surface of the conductor.
(b) The field lines showed in (b) do not represent electrostatic field lines because the field lines cannot emerge from a negative charge and cannot terminate at a positive charge.
(c) The field lines showed in (c) represent electrostatic field lines. This is because the field lines emerge from the positive charges and repel each other.
(d) The field lines showed in (d) do not represent electrostatic field lines because the field Hnes should not intersect each other.
(e) The field lines showed in (e) do not represent electrostatic field lines because closed loops are not formed in the area between the field lines.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 27.
In a certain region of space, electric Held is along the z-direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of 105 NC-1 per metre. What are the force and torque experienced by a system having a total dipole moment equal to 10-7 Cm in the negative z-direction?
Answer:
Dipole moment of the system, p = q × dl = -10-7Cm
Rate of increase of electric field per unit length,
\(\frac{d E}{d l}\) = 10+5 NC-1
Force (F) experienced by the system is given by the relation,
F = qE
F = q\(\frac{d E}{d l}\) × dl
= p × \(\frac{d E}{d l}\)
= -10-7 × 105 .
= -10-2 N
The force is -10-2 N in the negative z-direction i.e., opposite to the direction of electric field. Hence, the angle between electric field and dipole moment is 180°.
Torque (τ) is given by the relation,
τ = pEsin180°
= 0
Therefore, the torque experienced by the system is zero.

Question 28.
(a) A conductor A with a cavity as shown in Fig. 1.36 (a) is given a charge Q. Show that the entire charge must appear on the outer surface of the conductor.

(b) Another conductor B with charge q is inserted into the cavity keeping B insulated from A. Show that the total charge on the outside surface of A is Q q [Fig. 1.36 (b)].

(c) A sensitive instrument is to be shielded from the strong electrostatic fields in its environment. Suggest a possible way.
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 16
Answer:
(a) Let us consider a Gaussian surface that is lying wholly within a conductor and enclosing the cavity. The electric field intensity E inside the charged conductor is zero.
Let q is the charge inside the conductor and e 0 is the permittivity of free space.
According to Gauss’s law,
Flux, Φ = \(\vec{E} \cdot \overrightarrow{d s}\) = \(\frac{q}{\varepsilon_{0}}\)
Here, E = 0
\(\frac{q}{\varepsilon_{0}}\) = 0
∵ ε0 ≠ 0
∴ q = 0
Therefore, charge inside the conductor is zero.
The entire charge Q appears on the outer surface of the conductor.

The outer surface of conductor A has a charge of amount Q. Another conductor B having charge +q is kept inside conductor A and it is insulated from A. Hence, a charge of amount -q will be induced in the inner surface of conductor A and + q is induced on the outer surface of conductor A. Therefore, total charge on the outer surface of conductor A is Q + q.

A sensitive instrument can be shielded from the strong electrostatic field in its environment by enclosing it fully inside a metallic surface. A closed metallic body acts as an electrostatic shield.

Question 29.
A hollow charged conductor has a tiny hole cut into its surface. Show that the electric field in the hole is (\(\)) n̂, where n̂ is the unit vector in the outward normal direction and a is the surface charge density near the hole.
Answer:
Let us consider a conductor with a cavity or a hole. Electric field inside the cavity is zero.

Let E is the electric field just outside the conductor, q is the electric charge, σ is the charge density, and ε0 is the permittivity of free space.
Charge \(|q|=\vec{\sigma} \times \overrightarrow{d s}\)
According to Gauss’s law,
Flux Φ = \(\vec{E} \cdot \overrightarrow{d s}\) = \(\frac{|q|}{\varepsilon_{0}}\)
Eds = \(\frac{\vec{\sigma} \times \overrightarrow{d s}}{\varepsilon_{0}}\)
∴ E = \(\frac{\sigma}{\varepsilon_{0}} \hat{n}\)

Therefore, the electric field just outside the conductor is \(\frac{\sigma}{\varepsilon_{0}} \hat{n}\) . This field is

a superposition of field due to the cavity (\(\vec{E}\)) and the field due to the rest of the charged conductor (E). These fields are equal and opposite inside the conductor, and equal in magnitude and direction outside the conductor.
∴ E’ + E’ = E
E’ = \(=\frac{E}{2}=\frac{\sigma}{2 \varepsilon_{0}} \hat{n}\)
Therefore, the field due to the rest of the conductor is \(\frac{\sigma}{\varepsilon_{0}} \hat{n}\) .
Hence, proved.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 30.
Obtain the formula for the electric field due to a long thin wire of uniform linear charge density λ without using Gauss’s law. [Hint: Use Coulomb’s law directly and evaluate the necessary integral.]
Answer:
Take a long thin wire XY (as shown in the figure) of uniform linear charge density λ.
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 17
Consider a point A at a perpendicular distance l from the mid-point O of the wire, as shown in the following figure:
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 18
Let E be the electric field at point A due to the wire, XY.
Consider a small length element dx on the wire section with OZ = x
Let q be the charge on this piece.
∴ q = λ dx
Electric field due to the piece,
dE = \(\frac{1}{4 \pi \varepsilon_{0}} \frac{\lambda d x}{(A Z)^{2}}\)
However, AZ = \(\sqrt{\left(l^{2}+x^{2}\right)}\)
∴ dE = \(\frac{\lambda d x}{4 \pi \varepsilon_{0}\left(l^{2}+x^{2}\right)}\)

The electric field is resolved into two rectangular components. dE cos θ is the perpendicular component and dE sin0 is the parallel component. When the whole wire is considered, the component dE sin0 is cancelled. Only the perpendicular component dE cosO affects point A.

Hence, effective electric field at point A due to the element dx is dE1.
∴ dE1 = \(\frac{\lambda d x \cos \theta}{4 \pi \varepsilon_{0}\left(x^{2}+l^{2}\right)}\) ……………. (1)
In Δ AZO, tanθ = \(\frac{x}{l}\)
x = ltanθ ……………. (2)

On differentiating equation (2), we obtain
\(\frac{d x}{d \theta}\) = l sin2θ
dx = lsin2θ dθ ……………… (3)
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 19

Question 31.
It is now believed that protons and neutrons (which constitute nuclei of ordinary matter) are themselves built out of more elementary units called quarks. A proton and a neutron consist of three quarks each. Two types of quarks, the so called ‘up* quark (denoted by u) of charge (+2/3)e, and the ‘down’ quark (denoted by d) of charge (-1/3) e, together with electrons build up ordinary matter. (Quarks of other types have also been found which give rise to different unusual varieties of matter.) Suggest a possible quark composition of a proton and neutron.
Answer:
A proton has three quarks. Let there be n up quarks in a proton, each having a charge of + \(\frac{2}{3}\) e.
Charge due to n up quarks = (\(\frac{2}{3}\)e)n
Number of down quarks in a proton = 3 – n
Each down quark has a charge of – \(\frac{1}{3}\) e.
Charge due to (3 – n) down quarks = (-\(\frac{1}{3}\)e) (3 – n)
Total charge on a proton = + e
e = (\(\frac{2}{3}\)e)n + (-\(\frac{1}{3}\)e) (3 – n)
e = (\(\frac{2 \text { ne }}{3}\)) – e + \(\frac{n e}{3}\)
2e = ne
n = 2
Number of up quarks in a proton, n = 2
Number of down quarks in a proton = 3 – n = 3 – 2 = 1
Therefore, a proton can be represented as ‘uud’.
A neutron also has three quarks. Let there be n up quarks in a neutron,
each having a charge of + \(\frac{2}{3}\) e.
Charge on a neutron due to n up quarks (+\(\frac{2}{3}\)e) n

Number of down quarks is 3 -n, each having a charge of (-\(\frac{1}{3}\))e
Charge on a neutron due to (3 – n) down quarks = (-\(\frac{1}{3}\)e) (3 – n)
Total charge on a neutron = 0
0 = (\(\frac{2}{3}\)e)n + (-\(\frac{1}{3}\)e) (3 – n)
0 = \(\frac{2}{3}\) en – e + \(\frac{n e}{3}\)
e = ne
n = 1
Number of up quarks in a neutron, n = 1
Number of down quarks in a neutron = 3 – n = 3 – 1 = 2
Therefore, a neutron can be represented as ‘udd’.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 32.
(a) Consider an arbitrary electrostatic field configuration. A small test charge isplaced at a null point (i. e., where E = 0) of the configuration. Shew that the equilibrium of the test charge is necessarily unstable.
(b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.
Answer:
(a) An arbitrary electrostatic configuration consists of two charges of unequal charges of unequal magnitude and of same sign. e. g., consider a system of two fixed charges + ve and + e separated by a distance r placed at point A and B respectively. Let a test charge q0 be placed at a point C at a distance x from + 4 e. C is the point is resultant field or force on 90 is zero.
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 20
or 4(r – x)2 = x2 or 2(r – x) = ±x
∴ x = \(\frac{2 r}{3}\) or 2r
For equilibrium, the charge q0 can be either + ve or – ve.

Case I: If q0 is – ve, then it experiences equal attractive force due to both the charges. When it is displaced on either side along the line joining the two charges from its equilibrium position, the attractive force due to one charge gets increased while due to the other, it is decreased. As a result of this, charge -q0 no longer returns to its equilibrium position i.e., equilibrium of – ve charge is necessarily unstable.

Case II: If q0 is the + ve but displaced perpendicular to line joining the two charges, then resultant force tends to displace it further more i.e., it will not come back to its equilibrium position i. e., equilibrium will be unstable.

(b) Let the simple configuration consists of two equal charges +q at point A and B. As now the two charges are of same nature and have same magnitude hence their resultant \(\vec{E}\) will be zero at the mid-point O of the line joining them being equal and opposite and system will be unstable if the charge is slightly displaced, it executes S.H.M.
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 21

Question 33.
A particle of mass m and charge (~q) enters the region between the two charged plates initially moving along x-axis with speed vx (like particle 1 in Fig. 1.33). The length of plate is L and an uniform electric field E is maintained between the plates. Show that the vertical deflection of the particle at the far edge of the plate is q EL2 (2m v2x).
Compare this motion with motion of a projectile in gravitational field discussed in section 4.10 of Class XI Textbook of Physics.
Answer:
Charge on a particle of mass m = -q
Velocity of the particle = vx
Length of the plates = L
Magnitude of the uniform electric field between the plates = E
Mechanical force,F = Mass (m) x Acceleration (a)
a = \(\frac{F}{m}\)
However, electric force, F = qE
Therefore, acceleration, a = \(\frac{q E}{m}\) …………. (1)
Time taken by the particle to cross the field of length L is given by,
= \(\frac{\text { Length of the plate }}{\text { Velocity of the particle }}=\frac{L}{v_{x}}\) …………… (2)

Velocity of the particle vx In the vertical direction, initial velocity, u = 0
According to the third equation of motion, vertical deflection s of the particle can be obtained as,
s = ut + \(\frac{1}{2}\)at2
s = 0 + \(\frac{1}{2}\) (\(\frac{q E}{m}\))(\(\frac{L}{v_{x}}\))2
s = \(\frac{q E L^{2}}{2 m v_{x}^{2}}\) ……………. (3)

Hence, vertical deflection of the particle at the far edge of the plate is qEL2 / (2m vx2). This is similar to the motion of horizontal projectiles under gravity.

PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields

Question 34.
Suppose that the particle in Exercise in 1.33 is an electron projected with velocity vx = 2.0 x 106 ms-1. If E between the plates separated by 0.5 cm is 9.1 x 102 N/C, where will the electron strike the upper plate? (|e| = 1.6 x 10-19 C, me = 9.1 x 10-31 kg.)
Answer:
Velocity of the particle, vx = 2.0 x 106 m/ s
Separation of the two plates, d = 0.5 cm = 0.005 m
Electric field between the two plates, E = 9.1 x 102 N / C
Charge on an electron, q = 1.6 x 10-19 C
Mass of an electron, me = 9.1 x 10-31 kg
Let the electron strike the upper plate at the end of plate L, when deflection is s. Therefore,
PSEB 12th Class Physics Solutions Chapter 1 Electric Charges and Fields 22
Therefore, the electron will strike the upper plate after travelling 1.6 cm.

PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics: Materials, Devices, and Simple Circuits

Punjab State Board PSEB 12th Class Physics Book Solutions Chapter 14 Semiconductor Electronics: Materials, Devices, and Simple Circuits Textbook Exercise Questions and Answers.

PSEB Solutions for Class 12 Physics Chapter 14 Semiconductor Electronics: Materials, Devices, and Simple Circuits

PSEB 12th Class Physics Guide Semiconductor Electronics: Materials, Devices, and Simple Circuits Textbook Questions and Answers

Question 1.
In an n-type silicon, which of the following statement is true:
(a) Electrons are majority carriers and trivalent atoms are the dopants.
(b) Electrons are minority carriers and pentavalent atoms are the dopants.
(c) Holes are minority carriers and pentavalent atoms are the dopants.
(d) Holes are majority carriers and trivalent atoms are the dopants.
Answer:
The correct statement is (c).
In an n-type silicon, the electrons are the majority carriers, while the holes are the minority carriers.
An n-type semiconductor is obtained when pentavalent atoms, such as phosphorus, are doped in silicon atoms.

Question 2.
Which of the statements given in Exercise 14.1 is true for p-type semiconductors.
Answer:
The correct statement is (d).
In a p-type semiconductor, the holes are majority carriers, while the electrons are the minority carriers.
A p-type semiconductor is obtained when trivalent atoms, such as aluminum, are doped in silicon atoms.

Question 3.
Carbon, silicon, and germanium have four valence electrons each.
These are characterized by valence and conduction bands separated by energy bandgap respectively equal to (Eg)C, (Eg) si, and (Eg)Ge Which of the following statements is true?
(a) (Eg)si<(Eg)Ge<(Eg)C
(b) (Eg)C<(Eg)Ge>(Eg)Si
(c) (Eg)C > (Eg)Si > (Eg)Ge
(d) (Eg)C =(Eg)Si = (Eg)Ge
Answer:
The correct statement is (c).
Out of the three given elements, the energy band gap of carbon is the maximum and that of germanium is the least.
The energy band gap of these elements are related as (Eg)C > (Eg)Si > (Eg)Ge.

PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics: Materials, Devices, and Simple Circuits

Question 4.
In an unbiased p-n junction, holes diffuse from the p-region to n-region because
(a) free electrons in the n-region attract them.
(b) they move across the junction by the potential difference.
(c) hole concentration in p-region is more as compared to n-region.
(d) All of the above.
Answer:
The correct statement is (c).
The diffusion of charge carriers across a junction takes place from the region of higher concentration to the region of lower concentration. In this case, the p-region has greater concentration of holes than the n-region. Hence, in an unbiased p-n junction, holes diffuse from the p-region to the n-region.

Question 5.
When a forward bias is applied to a p-n junction, it
(a) raises the potential barrier,
(b) reduces the majority carrier current to zero,
(c) lowers the potential barrier.
(d) None of the above.
Answer:
The correct statement is (c).
When a forward bias is applied to a p-n junction, it lowers the value of potential barrier.
In the case of a forward bias, the potential barrier opposes the applied voltage.
Hence, the potential barrier across the junction gets reduced.

Question 6.
For transistor action which of the following statements are correct:
(a) Base, emitter and collector regions should have similar size and doping concentrations.
(b) The base region must be very thin and lightly doped.
(c) The emitter junction is forward biased and collector junction is reverse biased.
(d) Both the emitter junction as well as the collector junction are forward biased.
Answer:
The correct statements are (b) and (c).
For a transistor action, the junction must be lightly doped so that the base region is very thin.
Also, both the emitter junction must be forward-biased and collector junction should be reverse-biased.

Question 7.
For a transistor amplifier, the voltage gain
(a) remains constant for all frequencies.
(b) is high at high and low frequencies and constant in the middle-frequency range.
(c) is low at high and low frequencies and constant at mid frequencies.
(d) None of the above.
Answer:
The correct statement is (c).
The voltage gain of a transistor amplifier is constant at mid-frequency range only. It is low at high and low frequencies.

PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics: Materials, Devices, and Simple Circuits

Question 8.
In half-wave rectification, what is the output frequency if the input frequency is 50 Hz.
What is the output frequency of a full-wave rectifier for the same input frequency.
Answer:
Input frequency = 50 Hz
For a half-wave rectifier, the output frequency is equal to the input frequency.
∴ Output frequency = 50 Hz
For a full-wave rectifier, the output frequency is twice the input frequency
∴ Output frequency = 2 x 50 = 100 Hz

Question 9.
For a CE-transistor amplifier, the audio signal voltage across the collected resistance of 2 kΩ is 2V.
Suppose the current amplification factor of the transistor is 100, find the input signal voltage and base current, if the base resistance is 1 kΩ.
Answer:
Given, Rc = 2 kΩ, RB = 1 kΩ,
V0 = 2V, input voltage Vi = ?
β = \(\frac{I_{C}}{I_{B}}\) = 100
V0=ICRC= 2V
ic = \(\frac{2 V}{R_{C}}=\frac{2 \mathrm{~V}}{2 \times 10^{3} \Omega}\) = 1.0-3 A.
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 1

Base current,
IB = \(\frac{I_{C}}{\beta}=\frac{10^{-3}}{100}\) = 10 x 10-6 A = 10 μA
Base current, RB = \(\frac{V_{B B}}{I_{B}}\)
Input Voltage, Vi = RB x IB
= 1 x 103 x 10 x 10-6
= 0.01 V

Question 10.
Two amplifiers are connected one after the other in series (cascaded). The first amplifier has a voltage gain of 10 and the second has a voltage gain of 20. If the input signal is 0.01 volt, calculate the output ac signal.
Answer:
Voltage gain of the first amplifier, V1 = 10
Voltage gain of the second amplifier; V2 = 20
Input signal voltage, Vi = 0.01V
Output AC signal voltage = V0
The total voltage gain of a two-stage cascaded amplifier is given by the product of voltage gains of both the stages, Le.,
V = V1 x V2=10 x 20 =200
We have the relation
V0 =V x Vi= 200 x 0.01 = 2 V
Therefore, the output AC signal of the given amplifier is 2 V.

Question 11.
A p-n photodiode is fabricated from a semiconductor with bandgap of 2.8 eV. Can it detect a wavelength of 6000 nm?
Answer:
Energy band gap of the given photodiode, Eg = 2.8 eV
Wavelength, λ = 6000 nm= 6000 x 10-9m
The energy of a signal is given by the relation
E = \(\frac{h c}{\lambda}\)
where, h = Planck’s constant = 6.63 x 10-34 Js
c = Speed of light = 3 x 108 m/s
E = \(\frac{6.63 \times 10^{-34} \times 3 \times 10^{8}}{6000 \times 10^{-9}}\) = 3.313 x 10-20 J
But 1.6 x 10-19 J = 1 eV
E = \(\frac{3.313 \times 10^{-20}}{1.6 \times 10^{-19}}\) = 0.207 eV

Additional Exercises

Question 12.
The number of silicon atoms per m3 is 5 x 1028.
This is doped simultaneously with 5 x 1022 atoms per m3 of Arsenic and 5 x 1020 per m3 atoms of Indium.
Calculate the number of electrons and holes. Given that ni= 1.5 x 1016m-3. Is the material n-type or p-type?
Answer:
Arsenic is n-type impurity and indium is p-type impurity.
Number of electrons, ne = nD – nA
= 5 x 1022 – 5 x 1020 = 4.95 x1022 m-3
Also, ni = nenh
Given, ni =1.5 x 1016 m-3
Number of holes, nh=\(\frac{n_{i}^{2}}{n_{e}}\) = \(\frac{\left(1.5 \times 10^{16}\right)^{2}}{4.95 \times 10^{22}} \)
⇒ nh =4.54 x 109 m-3
As ne > nh. so the material is an n-type semiconductor.

PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics: Materials, Devices, and Simple Circuits

Question 13.
In an intrinsic semiconductor, the energy gap Eg is 1.2 eV. Its hole mobility is much smaller than electron mobility and independent of temperature. What is the ratio between conductivity at 600K and that at 300K?  Assume that the temperature dependence of intrinsic carrier concentration ni is given by ni = n0 exp\(\left[-\frac{E_{g}}{2 k_{B} T}\right]\) where n0 is a constant.
Answer:
Energy gap of the given intrinsic semiconductor, E = 1.2 eV
The temperature dependence of the intrinsic carrier-concentration is written as
ni = n0 exp\(\left[-\frac{E_{g}}{2 k_{B} T}\right]\)

where, kB = Boltzmann constant = 8.62 x 10-5eV/K
T = Temperature, n0 = Constant
Initial temperature, T1 = 300 K
The intrinsic carrier-concentration at this temperature can be written as
ni1 =n0exp \(\left[-\frac{E_{g}}{2 k_{B} \times 300}\right]\)
………………………….. (1)
Final temperature, T2 = 600 K
The intrinsic carrier-concentration at this temperature can be written as
ni1 = n0exp \(\left[-\frac{E_{g}}{2 k_{B} \times 600}\right]\)
………………………………… (2)

The ratio between the conductivities at 600 K and at 300 K is equal to the ratio between the respective intrinsic carrier- concentrations at these temperatures.
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 2
Therefore, the ratio between the conductivities is 1.09 x 105.

Question 14.
In a p.n junction diode, the current I can be expressed as
I = I0exp\(\left(\frac{\mathrm{eV}}{2 k_{B} T}-1\right)\) where I0 is called the reverse saturation current, V is the voltage across the diode and is positive for forward bias and negative for reverse bias, and I is the current through the diode, kB is the Boltzmann constant (8.6 x 10-5 eV/K) and T is the absolute temperature. if for a given diode I0 = 5 x 10-12 A and T = 300K, then
(a) What will be the forward current at a forward voltage of 0.6V?
(b) What will be the increase in the current if the voltage across the diode is increased to 0.7 V?
(c) What is the dynamic resistance?
(d) What will be the current if reverse bias voltage changes from 1V to 2 V?
Answer:
Given, I0 = 5 x 10-12 A, T = 300 K
kB =8.6 x 10-5 eV/K
= 8.6 x 10-5 x 1.6 x 10-19J/K
(a) Given, voltage V = 0.6 V
∴ \(\frac{e V}{k_{B} T}=\frac{1.6 \times 10^{-19} \times 0.6}{8.6 \times 10^{-5} \times 1.6 \times 10^{-19} \times 300}\) = 23.26
The current I through a junction diode is given by
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 3
(b) Given, voltage V = 0.7 V
∴ \( \frac{e V}{k_{B} T}=\frac{1.6 \times 10^{-19} \times 0.7}{8.6 \times 10^{-5} \times 1.6 \times 10^{-19} \times 300}\) = 27.14
Now,
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 4
Change in current ΔI = 3.035 — 0.063 = 2.9 A
(c) ΔI =2.9 A, voltage ΔV=0.7—0.6=0.1 V
Dynamic resistance Rd =\(\frac{\Delta V}{\Delta I}=\frac{0.1}{2.9}\) = 0.0336 Ω
(d) As the voltage changes from 1 V to 2 V, the current I will be almost
equal to I0 = 5 x 10-12 A.
It is due to that the diode possesses practically infinite resistance in the reverse bias.

Question 15.
You are given the two circuits as shown in Fig. 14.44. Show that
circuit (a) acts as OR gate while the circuit (b) acts as AND gate.
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 5
Answer:
(a) A and B are the inputs and Y is the output of the given circuit. The left half of the given figure acts as the NOR Gate, while the right half acts as the NOT Gate. This is shown in the following figure
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 6
Hence, the output of the NOR Gate = \(\overline{A+B}\)
This will be the input for the NOT Gate. Its output will be \(\overline{\overline{A+B}}\) = A+B
∴ Y = A + B
Hence, this circuit functions as an OR Gate.

(b) A and B are the inputs and Y is the output of the given circuit. It can be observed from the following figure that the inputs of the right half NOR Gate are the outputs of the two NOT Gates.
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 7
Hence, the output of the given circuit can be written as
Y = \(\overline{\bar{A}+\bar{B}}=\overline{\bar{A}} \cdot \overline{\bar{B}}= \) = A.B
Hence, the circuit functions as an AND Gate.

Question 16.
Write the truth table for a NAND gate connected as given in Fig. 14.45. Hence identify the exact logic operation carried out by this circuit.
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 8
Answer:
A acts as the two inputs of the NAND gate and Y is the output, as shown in the following figure
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 9
Hence, the output can be written as
Y =\(\overline{A \cdot A}=\bar{A}+\bar{A}=\bar{A}\) ……………………… (1)
The truth table for equation (1) can be drawn as

A Y = \(\bar{A}\)
0 1
1 0

This circuit functions as a NOT gate. The symbol for this logic circuit is shown as
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 10

PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics: Materials, Devices, and Simple Circuits

Question 17.
You are given two circuits as shown in Fig. 14.46, which consist of NAND gates. Identify the logic operation carried out by the two circuits.
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 11
Answer:
In both the given circuits, A and B are the inputs and Y is the output
(a) The output of the left NAND gate will be A. B, as shown in the following figure
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 12
Hence, the output of the combination of the two NAND gates is given as
Y= \(\overline{(\overline{A \cdot B}) \cdot(\overline{A \cdot B})}=\overline{\overline{A B}}+\overline{\overline{A B}}\) =AB
Hence, this circuit functions as an AND gate.

(b) \(\bar{A}\) is the output of the upper half of the NAND gate and B is the output of the lower half of the NAND gate, as shown in the following figure
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 13
Hence, the output of the combination of theNAND gates will be given as
Y = \(\bar{A} \cdot \bar{B}=\overline{\bar{A}}+\overline{\bar{B}}\) =A + B
Hence, this circuit functions as an OR gate.

Question 18.
Write the truth table for circuit given in Fig 14.47 below consisting of NOR gates and identify the logic operation (OR, AND, NOT) which this circuit is performing.
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 14
(Hint: A = 0, B = 1 then A and B inputs of second NOR gate will be 0 and hence Y = 1. Similarly, work out the values of Y for other combinations of A and B. Compare with the truth table of OR, AND, NOT gates and find the correct one.)
Answer:
A and B are the mputs of the given circuit The output of the first NOR gate ’ is \(\overline{A+B}\) .
It can be observed from the following figure that the inputs of the second NOR gate become the out put of the first one
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 15
Hence, the output of the combination is given as
Y= \(\overline{\overline{A+B}+\overline{A+B}}\)
= \(\overline{\bar{A}+\bar{B}}+\overline{\bar{A} \cdot \bar{B}}\)
= \(\overline{\bar{A} \cdot \bar{B}}=\overline{\bar{A}}+\overline{\bar{B}}\) = A+B
The truth table for this operation is given as

A B Y(= A+B)
0 0 0
0 1 1
1 0 1
1 1 1

This is the truth table of an OR gate. Hence, this circuit functions as an OR gate.

Question 19.
Write the truth table for the circuits given in Fig.14.48 consisting of NOR gates only. Identify the logic operations (OR, AND, NOT) performed by the two circuits.
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 16
Answer:
(a) A acts as the two inputs of the NOR gate and Y is the output, as shown in the following figure.
Hence, the output of the circuit is \(\overline{A+A}\)
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 17
The truth table for the same is given as

A Y = \(\bar{A}\)
0 1
1 0

This is the truth table of a NOT gate. Hence, this circuit functions as a NOT gate.

(b) A and B are the inputs and Y is the output of the given circuit. By using the result obtained in solution
(a), we can infer that the outputs of the
first two NOR gates are \(\bar{A}\) and \(\bar{B}\), as shown in the following figure
PSEB 12th Class Physics Solutions Chapter 14 Semiconductor Electronics Materials, Devices, and Simple Circuits 18
\(\bar{A}\) and \(\bar{B}\) are the inputs for the last NOR gate.
Hence, the output for the circuit can be written as
Y = \(\overline{\bar{A}+\bar{B}}=\overline{\bar{A}} \cdot \overline{\bar{B}}\) = A.B
The truth table for the same can be written as

A B Y(=A.B)
o o o
o 1 o
1 0 0
1 1 1

This is the truth table of an ANL) gate. Hence, this circuit functions as an AND gate.

PSEB 12th Class Biology Important Questions Chapter 11 Biotechnology: Principles and Processes

Punjab State Board PSEB 12th Class Biology Important Questions Chapter 11 Biotechnology: Principles and Processes Important Questions and Answers.

PSEB 12th Class Biology Important Questions Chapter 11 Biotechnology: Principles and Processes

Very short answer type questions

Question 1.
Write the two components of the first artificial recombinant DNA molecule constructed by Cohen and Boyer.
Answer:

  • Antibiotic resistance gene and
  • Plasmid vector of Salmonella typhimurium.

Question 2.
Suggest a technique to a researcher who needs to separate fragments of DNA.
Answer:
Gel Electrophoresis.

Question 3.
Mention the uses of cloning vector in biotechnology.
Answer:
Cloning vectors are used for transferring fragments of foreign DNA into a suitable host. They are also used to select recombinants from non-recombinants.

PSEB 12th Class Biology Important Questions Chapter 11 Biotechnology: Principles and Processes

Question 4.
Why is it not possible for an alien DNA to become part of a chromosome anywhere along its length and replicate normally?
Answer:
Alien DNA must be linked to ori or origin of replication site to start replication.

Question 5.
Why is it essential to have a ‘selectable marker’ in a cloning vector?
Answer:
Selectable markers are essential to identify and eliminate non-transformants, by selectively permitting the growth of the transformant.

Question 6.
Biotechnologists refer to Agrobacterium tumifaciens as a natural genetic engineer of plants. Give reasons to support the statement.
Answer:
This is because A. tumifaciens can transfer genes naturally by delivering a piece of T-DNA to plant cells. It has a tumour inducing plasmid.

Question 7.
Name the host cells in which micro-injection technique is used to introduce an alien DNA.
Answer:
Animal cells.

Question 8.
How does an alien DNA gain entry into a plant cell by ‘biolistics’ method?
Answer:
In biolistics method cells are bombarded with high velocity micro-particles of gold or tungsten coated with DNA.

PSEB 12th Class Biology Important Questions Chapter 11 Biotechnology: Principles and Processes

Question 9.
What is the host called that produces a foreign gene product? What is this product called?
Answer:
The host that produces a foreign gene product is called competent host. The product is called recombinant protein.

Question 10.
Give any two microbes that are useful in biotechnology. [NCERT Exemplar]
Answer:
E. coli and Saccharomyces cerevisiae.

Question 11.
What is EcoRI? How does EcoRI differ from an exonuclease?
Answer:
EcoRI is restriction endonuclease enzyme. Exonuclease removes nucleotides from the ends of DNA while EcoRI makes cut at specific position within the DNA.

Question 12.
What is the significance of adding proteases at the time of isolation of genetic material (DNA)? [NCERT Exemplar]
Answer:
Role of proteases is to degrade the proteins present inside a cell (from which DNA is being isolated). If the proteins are not removed from DNA preparation then they could interfere with any downstream treatment of DNA.

Question 13.
While doing a PCR, ‘denaturation’ step is missed. What will be its effect on the process? [NCERT Exemplar]
Answer:
If denaturation of double-stranded DNA does not take place, then primers will not be able to anneal to the template, no extension will take place, hence no amplification will occur.

PSEB 12th Class Biology Important Questions Chapter 11 Biotechnology: Principles and Processes

Question 14.
What would happen when you grow a recombinant in a bioreactor but forget to add antibiotic to the medium in which the recombinant is growing? [NCERT Exemplar]
Answer:
In the absence of antibiotic, there will be no pressure on recombinants to retain the plasmid (containing the gene of your interest). Since, maintaining a high copy number of plasmids is a metabolic burden to the microbial cells, it will thus tend to lose the plasmid.

Short answer type questions

Question 1.
What is meant by gene cloning? [NCERT Exemplar]
Answer:
Gene cloning refers to a process in which a gene of interest is ligated to a vector. The recombinant DNA thus produced is introduced in a host cell by transformation. Each cell gets one DNA molecule and when the transformed cell grows to a bacterial colony, each cell in the colony has a copy of the gene.

Question 2.
List the key tools used in recombinant DNA technology.
Answer:
The key tools used in recombinant DNA technology are as follows:

  • Restriction enzymes
  • Polymerase enzyme
  • Ligase enzyme ‘
  • Vectors
  • Host organism/cell.

Question 3.
(a) What are “molecular scissors”? Give one example.
(b) Explain their role in recombinant DNA technology.
Or Why are molecular scissors so called? Write their use in biotechnology.
Answer:
(a) The restriction endonucleases are called molecular scissors, as they cut the DNA segments at particular locations, e.g., EcoRI. They are so called because they cut DNA at specific points.

(b) The restriction enzymes cut the DNA strands a little away from the centre of the palindromic sites, but between the same two bases on the opposite strands. This leaves single stranded portions with overhanging stretches called sticky ends on each strand as they form hydrogen bonds with their complementary cut counterparts. This stickiness at the ends facilitates the action of the enzyme DNA ligase.

PSEB 12th Class Biology Important Questions Chapter 11 Biotechnology: Principles and Processes

Question 4.
Name the natural source of agarose. Mention one role of agarose in biotechnology.
Answer:
The natural source of agarose is sea weed. Agarose is a natural polymer. It is used to develop the matrix for gel electrophoresis. It helps in the separation of DNA fragments based on their size.

Question 5.
For producing a recombinant protein (for therapeutic purpose) in large scale, which vector would you choose – a low copy number or high-copy number? [NCERT Exemplar]
Answer:
High-copy number, because higher the copy number of vector plasmid, higher the copy number of gene and consequently, protein coded by the gene is produced in high amount.

Question 6.
What modification is done in the Ti plasmid of Agrobacterium tumefaciens to convert it into a cloning vector? [NCERT Exemplar]
Answer:
T-DNA is the only essential part required to make Ti plasmid a cloning vector. The plasmid is disarmed by deleting the tumour inducing genes in the plasmid so that it becomes an effective cloning vector and remove it harmful effect.

Question 7.
Describe the role of CaCl2 in preparation of competent cells.
[NCERT Exemplar]
Answer:
CaCl2 is known to increase the efficiency of DNA uptake to produce transformed bacterial cells. The divalent Ca+2 ions create transient pores in the bacterial cell wall, by which the entry of foreign DNA is facilitated into the bacterial cells.

Question 8.
(a) Why must a cell be made ‘competent’ in biotechnology experiments? How does calcium ion help in doing so?
(b) State the role of ‘biolistic gun’ in biotechnology experiments?
Answer:
(a) A recombinant DNA transfer into the host cell, needs that the recipient cell must be made competent in order to receive and absorb the DNA, present in the surrounding. The calcium ions in the medium increase the efficiency with which DNA enters the bacterium through the pores in the cell wall.

(b) Biolistic or Gene Gun : It is a vectorless method in which DNA is directly introduced in the nucleus of plant cell. Plant cells are bombarded with high velocity micro particles of gold or tungsten coated with DNA.

PSEB 12th Class Biology Important Questions Chapter 11 Biotechnology: Principles and Processes

Long answer type questions

Question 1.
(a) Name the selectable markers in the cloning vector pBR322? Mention the role they play. ‘
(b) Why is the coding sequence of an enzyme β-galactosidase a preferred selectable marker in comparison to the ones nam£d above?
Answer:
(a) In pBR322, ampR and TetR, the two antibiotic resistant genes act as selectable markers. If an alien DNA ligates at the Bam HI site of tetracycline resistant gene in the vector pBR322, the recombinant loses the tetracycline resistance. Non-recombinant will grow on both the media containing tetracycline/ampicillin whereas recombinant will grow on ampicillin medium but not on medium containing tetracycline. In this case, one antibiotic resistance gene helps in selecting the transformants and the other antibiotic gene gets inactivated due to insertion of alien DNA.

Thus, selectable markers (ampR) help in indentifying and eliminating non-transformants and help in selecting those host cells which contain the recombinant vector i.e., transformants.

(b) The selection of recombinant by the inactivation of one of the antibiotic resistance gene is a cumbersome, complicated, time consuming technique involving plating both the recombinant and non-recombinant on the ampicillin medium and then on tetracycline containing medium. In insertional inactivation, the DNA inserted in the coding sequence of an enzyme p-galactosidase results in inactivation of the enzyme and the bacterial colony, with insert shows no colouration while those without inserted plasmid, form blue colour colonies. This is a simple, less cumbersome technique.

PSEB 12th Class Biology Solutions Chapter 11 Biotechnology: Principles and Processes

Punjab State Board PSEB 12th Class Biology Book Solutions Chapter 11 Biotechnology: Principles and Processes Textbook Exercise Questions and Answers.

PSEB Solutions for Class 12 Biology Chapter 11 Biotechnology: Principles and Processes

PSEB 12th Class Biology Guide Biotechnology: Principles and Processes Textbook Questions and Answers
Question 1.
Can you list 10 recombinant proteins which are used in medical ; practice? Find out where they are used as therapeutics (use the internet).
Answer:

Recombinant proteins Therapeutic uses
(a) Insulin Used for diabetes mellitus
(b) OKT-3 Therapeutic antibody, used for reversal
(c) DNase Treatment of cystic fibrosis
(d) Reo Pro Prevention of blood clots
(e) Blood clotting factor VIII Treatment of haemophilia A
(f) Blood clotting factor IX Treatment of haemophilia B
(g) Tissue plasminogen activator For acute myocardial infarction
(h) Interferon alpha (INF alpha) Used for hepatitis C
(i) Interferon beta (INF beta) Used for multiple sclerosis
(j) Interferon gamma (INF gamma) Used for granulomatous disease

Question 2.
Make a chart (with diagrammatic representation) showing a restriction enzyme, the substrate DNA on which it acts, the site at which it cuts DNA and the product it produces.
Answer:
PSEB 12th Class Biology Solutions Chapter 11 Biotechnology Principles and Processes 1

PSEB 12th Class Biology Solutions Chapter 11 Biotechnology: Principles and Processes

Question 3.
From what you have learnt, can you tell whether enzymes are bigger or DNA is bigger in molecular size? How did you know?
Answer:
The molecular size of DNA molecules is more than that of enzymes. It is because an enzyme (protein) is synthesised from a segment of DNA called the gene.

Question 4.
What would be the molar concentration of human DNA in a human cell? Consult your teacher.
Answer:
The molar concentration of human DNA in a human diploid cell is as follows:
Total number of chromosomes × 6.023 × 1023
= 46 × 6.023 × 1023
= 2.77 × 1018moles

Question 5.
Do eukaryotic cells have restriction endonucleases? Justify your answer.
Answer:
No. Eukaryotic cells do not have restriction endonucleases. All the restriction endonucleases have been isolated from the various strains of bacteria and they are also named according to the genus and species of prokaryotes. The first letter of the enzyme comes from the genus and the second two letters come from the species of the prokaryotic cell from which they have been isolated. For example, EcoRI comes from Escherichia coliRY 13. In EcoRI, the letter ‘R’ is derived from the name of the strain. Roman numbers following the names indicate the order in which the enzymes were isolated from that strain of bacteria.

Question 6.
Besides better aeration and mixing properties, what other advantages do stirred tank bioreactors have over shake flasks?
Answer:
Shake flasks are used for growing microbes and mixing the desired materials on a small scale in the laboratory. However, the large-scale production of a desired biotechnological product requires large stirred tank bioreactors.

Besides better aeration and mixing properties, bioreactors have the following advantages:

  • It has an oxygen delivery system.
  • It has a foam control, temperature and pH control system.
  • Small volumes of culture can be withdrawn periodically.

PSEB 12th Class Biology Solutions Chapter 11 Biotechnology: Principles and Processes

Question 7.
Collect 5 examples of palindromic DNA sequences by consulting your teacher. Better try to create a palindromic sequence by following base-pair rules.
Answer:
Some palindromic DNA sequences and the restriction enzymes which act on them are as follows :

  • 5′-AGCT-3′ Alul (Arthrobacter luteus)
    3′-TCGA-5′
  • 5′-GAATTC-3′ EcoRI (Escherichia coli)
    3′-CTTAAG-5′
  • 5′-AAGCTT-3′ Hindlil (Haemophilus influenzae)
    3′-TTCGAA-5′
  • 5′-GTCGAC-3′ Sail (Streptomyces albus)
    3′-CAGCTG-5′
  • 5′-CTGCAG-3′ PstI (Providencia stuartii)
    3′-GACGTC-5′

Question 8.
Can you recall meiosis and indicate at what stage a recombinant DNA is made?
Answer:
A recombinant DNA is made in the pachytene stage of prophase I by f crossing over.

Question 9.
Can you think and answer how a reporter enzyme can be used to
monitor transformation of host cells by foreign DNA in addition to a selectable marker?
Answer:
Reporter enzyme can differentiate recombinants from non-recombinants on the basis of their ability to produce a specific colour in the presence of a chromogenic substrate. DNA is inserted within the coding sequence of the enzyme p-galactosidase. This results into inactivation of the enzyme which is referred to as insertional inactivation.

The presence of a chromogenic substrate gives blue-coloured colonies if the plasmid in the bacteria does not have an insert. The presence of the insert results in insertional inactivation of α-galactosidase and the colonies do not produce any colour. These are identified as recombinant colonies.

Question 10.
Describe briefly the following:
(a) Origin of replication
(b) Bioreactors
(c) Downstream processing
Answer:
(a) Origin of Replication: This is a sequence from where replication starts and any piece of DNA when linked to this sequence can be made to replicate within the host cells. This sequence is also responsible for controlling the copy number of the linked DNA. So, if one wants to recover many copies of the target DNA it should be cloned in a vector whose origin supports a high copy number.

(b) Bioreactors: Bioreactors are vessels in which raw materials are biologically converted into specific products, individual enzymes etc. using microbial plant, animal or human cells. A bioreactor provides the optimal conditions for achieving the desired product by providing optimum growth conditions (temperature, pH, substrate, salts, vitamins, oxygen). The most commonly used bioreactors are of stirring type. A biogas plant is a good example of a bioreactor.

(c) Downstream Processing: After completion of the biosynthetic stage, the product is subjected through a series of processes before it is ready for marketing as a finished product. The processes include separation and purification, which are collectively referred to as downstream processing. The product has to be formulated with suitable preservatives. Such formulation has to undergo thorough clinical trials as in the case of drugs. Strict quality control testing for each product is also required. Downstream processing and quality control testing vary from product to product.

Question 11.
Explain briefly
(a) PCR
(b) Restriction enzymes and DNA
(c) Chitinase
Answer:
(a) PCR: PCR stands for Polymerase Chain Reaction. In this reaction multiple copies of the gene (or DNA) of interest is synthesised in vitro using two sets of primers and the enzyme DNA polymerase. The enzyme extends the primers using the nucleotides provided in the reaction and the genomic DNA as template. The segment of DNA can be amplified to approximately billion times if the process of replication of DNA is repeated many times.

(b) Restriction Enzymes and DNA: Restriction enzymes are synthesised by microbes as a defence mechanism and are specifically endonucleases which cleave the double-stranded DNA with the desired genes. This activity occurs at a limited number of sites depending on the number of recognition sequences in DNA. Lysing enzymes, synthesising enzymes (DNA polymerase and reverse transcriptase) and ligases are also tools of genetic engineering.

(c) Chitinase: During the isolation of DNA in the processes of recombinant DNA technology, the fungal cell is heated with an enzyme called chitinase. The chitinase enzyme dissolves the chitin membrane to open the cell for release of DNA along with other macromolecules such as RNA, proteins, polysaccharides and lipids.

PSEB 12th Class Biology Solutions Chapter 11 Biotechnology: Principles and Processes

Question 12.
Discuss with your teacher and find out how to distinguish between
(a) Plasmid DNA and Chromosomal DNA
(b) RNA and DNA
(c) Exonuclease and Endonuclease
Answer:
(a)

Plasmid DNA Chromosomal DNA
Plasmid DNA is the naked double-stranded DNA which forms a circle with no free ends. It is associated with few proteins but contains RNA polymerase enzyme. They are smaller than the host chromosomes and can be easily separated. Chromosomal DNA is a double-stranded linear DNA molecule associated with large proteins. This DNA exists in relaxed and supercoiled forms and provides a template for replication and transcription. It has free ends represented as 3′-5′.

(b)

DNA RNA
(i) It is mainly confined to the nucleus. A small quantity occurs in mitochondria and chloroplasts. It mainly occurs in the cytoplasm. A small quantity is found in the nucleus.
(ii) Its quantity is constant in each cell of a species. Its quantity varies in different cells.
(iii) It contains deoxyribose sugar. It contains ribose sugar.
(iv) Its pyrimidines are adenine and thymine. Its pyrimidines are adenine and uracil.
(v) The amount of adenine is equal to the amount of thymine. Also, the amount of cytosine is equal to the amount of guanine. Adenine and uracil are not necessarily in equal amounts, nor are cytosine and guanine necessarily in equal amounts.
(vi) It can replicate itself. It cannot replicate itself. It is formed by DNA. Some RNA viruses (paramyxo virus) can produce RNA from an RNA template.

(c) Exonucleases are nucleases which cut off the nucleotides from the 5′ or 3′ ends of a DNA molecule, whereas endonucleases are nucleases which cleave the DNA duplex at any point except at the ends.