1. A
   1.63 cm
2. B
   0.163 cm
3. C
   0.163 m
4. D
   1.63 m

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

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

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

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1. A
   $e + 2\phi$
2. B
   $2e - \phi$
3. C
   $e - \phi$
4. D
   $e + \phi$

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1. A
   X-rays
2. B
   Gamma rays
3. C
   Ultraviolet rays
4. D
   Microwaves

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

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1. A
   $\lambda_3 > \lambda_2,\ \lambda_1 = 2\lambda_2$
2. B
   $\lambda_3 > \lambda_2,\ \lambda_1 = 4\lambda_2$
3. C
   $\lambda_1 > \lambda_2,\ \lambda_2 = 2\lambda_3$
4. D
   $\lambda_2 > \lambda_1,\ \lambda_2 = 2\lambda_3$

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1. A
   2 m s$^{-2}$
2. B
   Zero
3. C
   0.1 m s$^{-2}$
4. D
   1 m s$^{-2}$

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1. A
   $30\pi : 1$
2. B
   $1 : 120\pi$
3. C
   $60\pi : 1$
4. D
   $120\pi : 1$

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1. A
   $4 \times 10^2$ V
2. B
   44.4 V
3. C
   $4.4 \times 10^5$ V
4. D
   $4 \times 10^4$ V

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1. A
   $\dfrac{2\pi\lambda}{a}$
2. B
   $\dfrac{2\pi a}{\lambda}$
3. C
   $\dfrac{\lambda}{a}$
4. D
   $\dfrac{a}{\lambda}$

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1. A
   49 N
2. B
   89 N
3. C
   5 N
4. D
   10 N

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

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

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1. A
   $\dfrac{I_0}{16}$
2. B
   $\dfrac{I_0}{4}$
3. C
   $\dfrac{I_0}{2}$
4. D
   $\dfrac{I_0}{32}$

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

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1. A
   $\dfrac{\omega_1}{x_1} = \dfrac{\omega_2}{x_2} = \dfrac{\omega_3}{x_3} = k$
2. B
   $\omega_1 x_1 = \omega_2 x_2 = \omega_3 x_3 = k$
3. C
   $\omega_1 x_1^2 = \omega_2 x_2^2 = \omega_3 x_3^2 = k$
4. D
   $\omega_1^2 x_1 = \omega_2^2 x_2 = \omega_3^2 x_3 = k$

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1. A
   $\dfrac{3M}{\pi}$
2. B
   $\dfrac{4M}{\pi}$
3. C
   $\dfrac{M}{\pi}$
4. D
   $\dfrac{2M}{\pi}$

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1. A
   32 cm
2. B
   8 cm
3. C
   16 cm
4. D
   24 cm

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1. A
   $\dfrac{4 + 3\gamma}{\gamma - 1}$
2. B
   $\dfrac{3 + 4\gamma}{\gamma - 1}$
3. C
   $\dfrac{4 - 3\gamma}{\gamma - 1}$
4. D
   $\dfrac{3 - 4\gamma}{\gamma - 1}$

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1. A
   $A \cdot B$
2. B
   $\bar{A}\cdot\bar{B}$
3. C
   $A + B$
4. D
   $\bar{A} + \bar{B}$

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1. A
   19.01 ms
2. B
   11.09 ms
3. C
   19.01 s
4. D
   11.09 s

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

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1. A
   Be > Li > B > C
2. B
   Li > Be > B > C
3. C
   C > B > Be > Li
4. D
   Li > C > Be > B

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