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1. A
   32 N
2. B
   48 N
3. C
   96 N
4. D
   162 N

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

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1. A
   isothermal expansion.
2. B
   adiabatic expansion.
3. C
   isothermal compression.
4. D
   adiabatic compression.

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1. A
   increases by 29%
2. B
   decreases by 20%
3. C
   increases by 25%
4. D
   decreases by 25%

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1. A
   $2\mu h$
2. B
   $\frac{2h}{\mu}$
3. C
   $2h(\mu - 1)$
4. D
   $h\left(1 + \frac{1}{\mu}\right)$

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1. A
   First
2. B
   Eighth
3. C
   Third
4. D
   Second

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1. A
   increase.
2. B
   decrease.
3. C
   remain constant.
4. D
   either increase or decrease.

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1. A
   $\frac{\pi}{5}$ s
2. B
   $2\pi$ s
3. C
   $20\pi$ s
4. D
   $5\pi$ s

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

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1. A
   $2E$
2. B
   $4E$
3. C
   $8E$
4. D
   $12E$

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

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1. A
   30%
2. B
   40%
3. C
   50%
4. D
   60%

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1. A
   1.1 n
2. B
   1.22 n
3. C
   n
4. D
   1.27 n

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

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1. A
   remains the same.
2. B
   becomes $\frac{1}{10}$ times.
3. C
   becomes $\frac{1}{20}$ times.
4. D
   becomes $\frac{1}{90}$ times.

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1. A
   1000 : 1
2. B
   100 : 1
3. C
   1 : 32
4. D
   32 : 1

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1. A
   $\frac{u^2 - v^2}{\alpha + \beta}$
2. B
   $\frac{u^2 + v^2}{\alpha + \beta}$
3. C
   $\frac{u^2 - v^2}{\alpha - \beta}$
4. D
   $\frac{u^2 + v^2}{\alpha - \beta}$

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

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1. A
   $V n^{1/3}$
2. B
   $V n^{2/3}$
3. C
   $Vn$
4. D
   $Vn^{-1}$

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1. A
   $K_1 + K_2$
2. B
   $\frac{K_1 + K_2}{K_1 - K_2}$
3. C
   $\frac{2K_1 K_2}{K_1 + K_2}$
4. D
   $\frac{K_1 + K_2}{2K_1 K_2}$

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1. A
   16
2. B
   8
3. C
   4
4. D
   2

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1. A
   may increase or decrease depending upon the percentage of doping.
2. B
   increases.
3. C
   decreases.
4. D
   does not change.

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1. A
   $\frac{\mu_0 I}{3R}$ in upward direction
2. B
   $\frac{\mu_0 I}{2R}$ in downward direction
3. C
   $\frac{3\mu_0 I}{8R}$ in downward direction
4. D
   $\frac{3\mu_0 I}{8R}$ in upward direction

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1. A
   $200\,\Omega$
2. B
   $400\,\Omega$
3. C
   $600\,\Omega$
4. D
   $700\,\Omega$

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1. A
   1
2. B
   2
3. C
   6
4. D
   4

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