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

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

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1. A
   $\frac{5GMm}{6R}$
2. B
   $\frac{2GMm}{3R}$
3. C
   $\frac{GMm}{2R}$
4. D
   $\frac{GMm}{3R}$

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1. A
   increase the magnetic field.
2. B
   increase the level of the magnetic saturation of the core.
3. C
   reduce the residual magnetism in the core.
4. D
   reduce eddy current losses in the core.

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1. A
   $W$
2. B
   $2W$
3. C
   $\frac{W}{2}$
4. D
   $W \cdot 4^{1/3}$

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1. A
   $\infty$
2. B
   zero
3. C
   one
4. D
   two

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1. A
   $\frac{m}{M}$
2. B
   $\frac{M-m}{M+m}$
3. C
   $1$
4. D
   $\frac{m}{M+m}$

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1. A
   4 V
2. B
   6 V
3. C
   10 V
4. D
   16 V

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1. A
   $5 \times 10^{-1}\text{ rad}$
2. B
   $5 \times 10^{-3}\text{ rad}$
3. C
   $1 \times 10^{-2}\text{ rad}$
4. D
   $1 \times 10^{-3}\text{ rad}$

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

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1. A
   $\frac{m^3 r^3}{h^2}$
2. B
   $\frac{h^2}{m^2 r^3}$
3. C
   $\frac{h^2}{mr^3}$
4. D
   $\frac{mr^3}{h^2}$

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

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1. A
   $0.66 \times 10^{-4}\text{ F}$
2. B
   $0.33 \times 10^{-4}\text{ F}$
3. C
   $0.66 \times 10^{-2}\text{ F}$
4. D
   $0.33 \times 10^{-2}\text{ F}$

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1. A
   $\left(\frac{L_1}{L_2}\right)^{2/3}$
2. B
   $\left(\frac{L_2}{L_1}\right)^{2/3}$
3. C
   $\left(\frac{L_2}{L_1}\right)^{1/2}$
4. D
   $\left(\frac{L_1}{L_2}\right)^{1/2}$

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1. A
   0.7 m
2. B
   0.5 m
3. C
   0.4 m
4. D
   0.6 m

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1. A
   photodiode in reverse bias.
2. B
   photodiode in forwarded bias.
3. C
   LED in reverse bias.
4. D
   LED in forward bias.

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1. A
   $\frac{13H}{14}$
2. B
   $\frac{15H}{16}$
3. C
   $\frac{11H}{12}$
4. D
   $\frac{9H}{10}$

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1. A
   $10^7\text{ N/m}^2$
2. B
   $10^6\text{ N/m}^2$
3. C
   $5 \times 10^6\text{ N/m}^2$
4. D
   $2 \times 10^6\text{ N/m}^2$

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1. A
   100 Hz, $4.7 \times 10^4\text{ cm/s}^2$
2. B
   50 Hz, $7.5 \times 10^3\text{ cm/s}^2$
3. C
   25 Hz, $4.7 \times 10^4\text{ cm/s}^2$
4. D
   25 Hz, $7.5 \times 10^4\text{ cm/s}^2$

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1. A
   0.5 A in anticlockwise direction.
2. B
   0.25 A in anticlockwise direction.
3. C
   0.25 A in clockwise direction.
4. D
   0.125 A in clockwise direction.

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

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1. A
   $10^{-1}\text{ A}$
2. B
   zero
3. C
   $10^{-2}\text{ A}$
4. D
   $5 \times 10^{-3}\text{ A}$

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1. A
   $9\lambda$
2. B
   $\lambda/9$
3. C
   $3\lambda$
4. D
   $\lambda/3$

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1. A
   the fringe width towards the side of the plate will decrease.
2. B
   the central maximum will shift towards this side
3. C
   number of fringes seen will decrease.
4. D
   interference pattern will disappear.

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1. A
   radial.
2. B
   normal to the liquid surface.
3. C
   tangential to the liquid surface.
4. D
   neither purely tangential nor purely normal.

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