Practice every past-year question.

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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1. A
   $\text{CH}_3\text{COOH}$
2. B
   $\text{H}_2\text{C}_2\text{O}_4$
3. C
   HCl
4. D
   $\text{NH}_3$

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1. A
   Polyesters
2. B
   Vulcanized rubber
3. C
   Polythene
4. D
   Polyvinyls

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1. A
   Liquid in solid
2. B
   Solid in gas
3. C
   Solid in liquid
4. D
   Liquid in gas

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1. A
   $\text{CH}_3\text{-CH}_2\text{-NH}_2$
2. B
   $\text{CH}_3\text{-O-Na}$
3. C
   $\text{CH}_3\text{-O-C}_2\text{H}_5$
4. D
   $\text{CH}_3\text{CN}$

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1. A
   $\text{C}_6\text{H}_5\text{-CH}_2\text{COOH}$
2. B
   $\text{C}_6\text{H}_5\text{-CH}_2\text{-CH}_2\text{-CH}_2\text{-COOH}$
3. C
   $\text{C}_6\text{H}_5\text{-OH}$
4. D
   $\text{C}_6\text{H}_5\text{-COOH}$

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1. A
   2-Ethyl-3-methylcyclopentanol
2. B
   2-Ethyl-5-methylcyclopentanol
3. C
   2-Methyl-3-ethylcyclopentanol
4. D
   1-Methyl-3-ethylcyclopentan-2-ol

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1. A
   3.4
2. B
   4.5
3. C
   5.1
4. D
   5.8

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1. A
   $\text{NH}_3$
2. B
   $\text{C}_2\text{H}_6$
3. C
   $\text{H}_2\text{S}$
4. D
   $\text{CH}_3\text{-O-CH}_3$

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1. A
   $0.42\,\text{cm}^{-1}$
2. B
   $0.84\,\text{cm}^{-1}$
3. C
   $0.60\,\text{cm}^{-1}$
4. D
   $1.04\,\text{cm}^{-1}$

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