1. A
   20 m s$^{-2}$; $\tan^{-1}(4/3)$ with 8 N force
2. B
   2 m s$^{-2}$; $\tan^{-1}(3/4)$ with 6 N force
3. C
   2 m s$^{-2}$; $\tan^{-1}(4/3)$ with 8 N force
4. D
   2 m s$^{-2}$; $\tan^{-1}(3/4)$ with 8 N force

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1. A
   $0.5 \times 10^{-6}$ J
2. B
   1.0 J
3. C
   $1.0 \times 10^{-6}$ J
4. D
   0.5 J

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1. A
   19.6 W
2. B
   39.2 W
3. C
   19.6 kW
4. D
   39.2 kW

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1. A
   0.2 cm
2. B
   0.01 cm
3. C
   0.02 cm
4. D
   0.1 cm

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1. A
   B > E > A > C > D
2. B
   C > D > A > B > E
3. C
   B > E > A > D > C
4. D
   C > D > A > E > B

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1. A
   2 A
2. B
   8 A
3. C
   4.5 A
4. D
   4 A

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1. A
   200 W
2. B
   400 W
3. C
   331 W
4. D
   121 W

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1. A
   2 A, 10 A m$^2$
2. B
   2.5 A, 20 A m$^2$
3. C
   2 A, 4 A m$^2$
4. D
   2.5 A, 2 A m$^2$

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1. A
   $4.8 \times 10^{-4}$ volt
2. B
   $1.2 \times 10^{-4}$ volt
3. C
   $1.3 \times 10^{-4}$ volt
4. D
   $1.8 \times 10^{-4}$ volt

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1. A
   A and C are true, but B and D are false
2. B
   B and C are true, but A and D are false
3. C
   A and D are true, but B and C are false
4. D
   B and D are true, but A and C are false

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1. A
   12
2. B
   20
3. C
   16
4. D
   19

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1. A
   0.75 m
2. B
   1.5 m
3. C
   2 m
4. D
   1 m

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1. A
   75 W
2. B
   100 W
3. C
   125 W
4. D
   25 W

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1. A
   $\dfrac{3mL^3}{8\pi}$
2. B
   $\dfrac{3mL^3}{8\pi^2}$
3. C
   $\dfrac{3mL^2}{8\pi}$
4. D
   $\dfrac{3mL^2}{8\pi^2}$

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1. A
   $0.01\,\Omega$
2. B
   $0.10\,\Omega$
3. C
   $1.0\,\Omega$
4. D
   $0.001\,\Omega$

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1. A
   Only the left-sided deflection
2. B
   There will be no deflection irrespective of the position of the jockey
3. C
   Only the right-sided deflection
4. D
   Both right-sided and left-sided deflection and at balance point, no deflection

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1. A
   $\dfrac{1}{120}$ s
2. B
   $\dfrac{1}{60}$ s
3. C
   $\dfrac{1}{30}$ s
4. D
   $\dfrac{1}{240}$ s

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1. A
   $B$ rises linearly from 0 to a peak at $r = a$, then falls as $1/r$
2. B
   $B$ is zero up to $r = a$, jumps to a peak at $a$, then falls as $1/r$
3. C
   $B$ starts at a non-zero value, slightly rises to a peak at $a$, then falls
4. D
   $B$ rises non-linearly (concave) to a peak at $r = a$, then falls as $1/r$

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1. A
   Both Statements A and B are true
2. B
   Statement A is true, but Statement B is false
3. C
   Both Statements A and B are false
4. D
   Statement A is false, but Statement B is true

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1. A
   A, B and D only
2. B
   A, C and E only
3. C
   A, C and D only
4. D
   C, D and E only

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1. A
   100 nm
2. B
   150 nm
3. C
   200 nm
4. D
   50 nm

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1. A
   passes through $2F$, which is the radius of curvature of the lens.
2. B
   appears to diverge from the first principal focus.
3. C
   emerges parallel to the principal axis.
4. D
   passes through the second principal focus.

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1. A
   990 m
2. B
   9900 m
3. C
   99 m
4. D
   9000 m

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1. A
   A–III, B–I, C–II, D–IV
2. B
   A–III, B–IV, C–I, D–II
3. C
   A–IV, B–I, C–II, D–III
4. D
   A–IV, B–III, C–II, D–I

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1. A
   B, D and E only
2. B
   A, C and D only
3. C
   A, D and E only
4. D
   A, B and C only

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