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1. A
   $\tan^{-1}(0)$
2. B
   $\tan^{-1}\frac{1}{3}$
3. C
   $\tan^{-1}(1)$
4. D
   $\tan^{-1}(3)$

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

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1. A
   1.1 mm
2. B
   2.2 mm
3. C
   4.4 mm
4. D
   5.5 mm

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1. A
   5 cm
2. B
   8 cm
3. C
   10 cm
4. D
   12 cm

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1. A
   NAND gate
2. B
   OR gate
3. C
   NOR gate
4. D
   X-OR gate

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1. A
   1.4 mV
2. B
   0.72 mV
3. C
   0.54 mV
4. D
   0.144 mV

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

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1. A
   $\frac{5g}{14}$
2. B
   $\frac{5g}{4}$
3. C
   $\frac{2g}{3}$
4. D
   $\frac{g}{3}$

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1. A
   $(\mu-1)\mu x$
2. B
   $\frac{\mu x}{\mu-1}$
3. C
   $\frac{(\mu-1)x}{\mu}$
4. D
   $\mu(\mu-1)x$

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1. A
   1:3
2. B
   1:2
3. C
   3:1
4. D
   4:1

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1. A
   $0.25$ Am$^2$
2. B
   $0.50$ Am$^2$
3. C
   $1$ Am$^2$
4. D
   $1.2$ Am$^2$

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

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1. A
   $\frac{1}{8}$
2. B
   $\frac{1}{4}$
3. C
   $\frac{1}{64}$
4. D
   $\frac{1}{12}$

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1. A
   $n_e \gg n_h$
2. B
   $n_e \ll n_h$
3. C
   $n_e \leq n_h$
4. D
   $n_e = n_h$

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1. A
   250 Hz
2. B
   300 Hz
3. C
   340 Hz
4. D
   400 Hz

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1. A
   $\frac{1 + 2\pi fCR}{4\pi^2 f^2 C}$
2. B
   $\frac{1 - 2\pi fCR}{4\pi^2 f^2 C}$
3. C
   $\frac{4\pi^2 f^2 C}{1 + 2\pi fCR}$
4. D
   $\frac{4\pi^2 f^2 C}{1 - 2\pi fCR}$

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1. A
   5 $\mu$F
2. B
   6 $\mu$F
3. C
   7 $\mu$F
4. D
   8 $\mu$F

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1. A
   1:2
2. B
   2:3
3. C
   3:4
4. D
   2:1

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1. A
   $\frac{Rn}{n-1}$
2. B
   $\frac{R(n-2)}{n-1}$
3. C
   $\frac{R(2n-1)}{n}$
4. D
   $\frac{R(n-1)}{2n-1}$

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1. A
   increases
2. B
   decreases
3. C
   remains constant
4. D
   suddenly becomes zero

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1. A
   75 cm
2. B
   50 cm
3. C
   30 cm
4. D
   25 cm

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1. A
   m
2. B
   $\frac{m}{3}$
3. C
   $\frac{m}{6}$
4. D
   $\frac{m}{9}$

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

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1. A
   $9 \times 10^5$ A/m
2. B
   $7.5 \times 10^5$ A/m
3. C
   $4.5 \times 10^5$ A/m
4. D
   $3.0 \times 10^5$ A/m

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1. A
   should be decreased.
2. B
   should be increased.
3. C
   should be same.
4. D
   should be three times the original.

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