Electromagnetic Induction

1. A.
   $0{\cdot}25$ V
2. B.
   $0{\cdot}50$ V
3. C.
   $0{\cdot}75$ V
4. D.
   $1{\cdot}0$ V

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1. A.
   $\frac{L}{2}$
2. B.
   2L
3. C.
   3L
4. D.
   4L

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1. A.
   5 V
2. B.
   $3{\cdot}5$ V
3. C.
   $2{\cdot}5$ V
4. D.
   Zero V

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1. A.
   $\sqrt{29}\ B_0 L^2$
2. B.
   $4 B_0 L^2$
3. C.
   $3 B_0 L^2$
4. D.
   $2 B_0 L^2$

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1. A.
   area of the loop only
2. B.
   the value of magnetic field only
3. C.
   orientation of the loop in the magnetic field only
4. D.
   any one or more of the factors given in (A), (B) and (C)

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1. A.
   $[\mathrm{M\,L\,T^{-3}\,A}]$
2. B.
   $[\mathrm{M\,L^{2}\,T^{-3}\,A^{-1}}]$
3. C.
   $[\mathrm{M\,L^{2}\,T^{-2}\,A^{-1}}]$
4. D.
   $[\mathrm{M\,L^{2}\,T^{-3}\,A^{-2}}]$

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1. A.
   $-\,\hat{i}$
2. B.
   $-\,\hat{j}$
3. C.
   $\hat{k}$
4. D.
   $\hat{j}$

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1. A.
   The speed of the falling magnet increases as it approaches the loop and starts decreasing as it crosses the loop.
2. B.
   Acceleration of magnet increases as it approaches the loop and starts decreasing as it crosses the loop.
3. C.
   Speed of magnet remains uniform as it moves through the loop.
4. D.
   Acceleration of the magnet remains uniform as it moves through the loop.

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1. A.
   20 V
2. B.
   32 V
3. C.
   40 V
4. D.
   63 V

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1. A.
   $\mathrm{Wbs^2}$, Wbs
2. B.
   $\mathrm{Wb\,s^{-1}}$, Wb
3. C.
   $\mathrm{Wbs^{-2}}$, $\mathrm{Wbs^{-1}}$
4. D.
   $\mathrm{Wbs^{-1}}$, $\mathrm{Wbs^{-2}}$

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1. A.
   remains stationary
2. B.
   is attracted by loop A
3. C.
   is repelled by loop A
4. D.
   rotates about its centre of mass which is fixed

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1. A.
   rate at which currents change in the two coils.
2. B.
   relative position and orientation of the coils.
3. C.
   currents in the two coils.
4. D.
   value of voltage induced in one coil due to change in value of current in the other coil.

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1. A.
   80 Wb
2. B.
   16 Wb
3. C.
   $8 \times 10^{-2}$ Wb
4. D.
   $8 \times 10^{-3}$ Wb

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1. A.
   the induced current will flow in the anticlockwise direction.
2. B.
   the induced current will flow in the clockwise direction.
3. C.
   no induced current will flow in the solenoid.
4. D.
   the magnet will fall with a constant velocity.

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Both Assertion (A) and Reason (R) are false.

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1. A.
   BA sin $\alpha$
2. B.
   BA cos $\alpha$
3. C.
   BA
4. D.
   zero

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1. A.
   3.0 mC
2. B.
   0.30 C
3. C.
   0.45 C
4. D.
   1.5 C

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1. A.
   $\frac{1}{2}$
2. B.
   1
3. C.
   2
4. D.
   4

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1. A.
   Y to Z and then Y to Z
2. B.
   Z to Y and then Y to Z
3. C.
   Y to Z and then Z to Y
4. D.
   Z to Y and then Z to Y

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1. A.
   $\frac{n_1}{n_2}$
2. B.
   $\frac{n_2}{n_1}$
3. C.
   $\frac{n_1 r_1^2}{n_2 r_2^2}$
4. D.
   $\frac{n_2 r_1^2}{n_1 r_2^2}$

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1. A.
   2592
2. B.
   2866
3. C.
   2976
4. D.
   3140

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1. A.
   clockwise current
2. B.
   anticlockwise current
3. C.
   alternating current
4. D.
   zero

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1. A.
   $0{\cdot}1$ mV
2. B.
   $0{\cdot}2$ mV
3. C.
   $0{\cdot}8$ mV
4. D.
   $1{\cdot}6$ mV

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1. A.
   32 V
2. B.
   37 V
3. C.
   64 V
4. D.
   69 V

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1. A.
   6 mH
2. B.
   12 mH
3. C.
   3 mH
4. D.
   9 mH

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1. A.
   $0{\cdot}5$ A
2. B.
   $1{\cdot}0$ A
3. C.
   $1{\cdot}5$ A
4. D.
   $2{\cdot}0$ A

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1. A.
   zero
2. B.
   less than g
3. C.
   g
4. D.
   greater than g

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1. A.
   0.31 V
2. B.
   0.20 V
3. C.
   0.63 V
4. D.
   0.10 V

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1. A.
   $[\mathrm{M\,L\,T^{-2}\,A^{-2}}]$
2. B.
   $[\mathrm{M\,L^{2}\,T^{-1}\,A^{-1}}]$
3. C.
   $[\mathrm{M\,L^{-1}\,T^{-2}\,A^{-2}}]$
4. D.
   $[\mathrm{M\,L^{2}\,T^{-2}\,A^{-2}}]$

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Assertion (A) is false and Reason (R) is also false.

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1. A.
   $\varepsilon_1 > \varepsilon_2 > \varepsilon_3$
2. B.
   $\varepsilon_2 > \varepsilon_3 > \varepsilon_1$
3. C.
   $\varepsilon_3 > \varepsilon_1 > \varepsilon_2$
4. D.
   $\varepsilon_1 > \varepsilon_3 > \varepsilon_2$

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1. A.
   Area of the coil
2. B.
   Resistance of the coil
3. C.
   Number of turns in the coil
4. D.
   Angular speed of rotation of the coil

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1. A.
   $0{\cdot}314\ \mu\mathrm{Wb}$
2. B.
   $3{\cdot}14\ \mu\mathrm{Wb}$
3. C.
   $31{\cdot}4\ \mu\mathrm{Wb}$
4. D.
   $1{\cdot}256\ \mu\mathrm{Wb}$

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1. A.
   0.5 V
2. B.
   1.0 V
3. C.
   1.5 V
4. D.
   3.0 V

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1. A.
   $\frac{\pi}{5}$
2. B.
   $5\pi$
3. C.
   $0.5\pi$
4. D.
   $0.05\pi$

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1. A.
   0.4 mH
2. B.
   2.5 mH
3. C.
   10 mH
4. D.
   2.5 H

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1. A.
   $4{\cdot}0$ C
2. B.
   $1{\cdot}5$ C
3. C.
   $0{\cdot}05$ C
4. D.
   $0{\cdot}1$ C

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1. A.
   $22{\cdot}5$ V
2. B.
   $17{\cdot}5$ V
3. C.
   $15{\cdot}0$ V
4. D.
   $12{\cdot}5$ V

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1. A.
   both $l$ and A are increased
2. B.
   $l$ is decreased and A is increased
3. C.
   $l$ is increased and A is decreased
4. D.
   both $l$ and A are decreased

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1. A.
   $\pi\ \mu\mathrm{V}$
2. B.
   $2\pi\ \mu\mathrm{V}$
3. C.
   $4\pi\ \mu\mathrm{V}$
4. D.
   $8\pi\ \mu\mathrm{V}$

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1. A.
   R
2. B.
   $\sqrt{R}$
3. C.
   $R^{\frac{3}{2}}$
4. D.
   $R^2$

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1. A.
   $t = \dfrac{nT}{8}$
2. B.
   $t = \dfrac{nT}{4}$
3. C.
   $t = \dfrac{nT}{2}$
4. D.
   $t = nT$

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Assertion (A) is false and Reason (R) is also false.

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Assertion (A) is false and Reason (R) is also false.

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1. A.
   increases in A and decreases in B.
2. B.
   decreases in both A and B.
3. C.
   increases in both A and B.
4. D.
   remains same in both A and B.

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1. A.
   0.1 V
2. B.
   0.5 V
3. C.
   0.75 V
4. D.
   1.0 V

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1. A.
   $0{\cdot}12$ V
2. B.
   $0{\cdot}15$ V
3. C.
   $0{\cdot}19$ V
4. D.
   $0{\cdot}22$ V

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1. A.
   magnetic field $(\vec{B})$
2. B.
   velocity $(\vec{v})$
3. C.
   resistance (r)
4. D.
   length of PQ

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1. A.
   along abc if I decreases
2. B.
   along acb if I increases
3. C.
   along abc if I is constant
4. D.
   along abc if I increases

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1. A.
   zero
2. B.
   equal to g
3. C.
   less than g
4. D.
   greater than g

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