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

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1. A
   2 cm
2. B
   1.5 cm
3. C
   1 cm
4. D
   0.5 cm

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1. A
   $\frac{3}{8}$ kg
2. B
   $\frac{5}{9}$ kg
3. C
   $\frac{8}{13}$ kg
4. D
   $\frac{9}{16}$ kg

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1. A
   inversely proportional to angular momentum.
2. B
   directly proportional to mass of electron.
3. C
   directly proportional to angular momentum.
4. D
   inversely proportional to charge on electron.

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1. A
   rigid diatomic.
2. B
   monoatomic.
3. C
   non-rigid diatomic.
4. D
   polyatomic.

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1. A
   0.2828 A
2. B
   2.828 A
3. C
   28.28 A
4. D
   282.8 A

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1. A
   remains the same.
2. B
   increases.
3. C
   decreases.
4. D
   becomes zero.

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1. A
   both l and A increase.
2. B
   l decreases and A increases.
3. C
   l increases and A decreases.
4. D
   both l and A decrease.

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1. A
   17 V
2. B
   14 V
3. C
   12 V
4. D
   8 V

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

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1. A
   energy.
2. B
   force.
3. C
   impulse.
4. D
   momentum.

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1. A
   $\frac{mgr}{\sqrt{L^2 - r^2}}$
2. B
   $\frac{mgr}{\sqrt{L^2 - r^2}}$
3. C
   $\frac{\sqrt{L^2 - r^2}}{mgL}$
4. D
   $\frac{mgL}{\sqrt{L^2 - r^2}}$

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1. A
   inversely proportional to '$\eta$'
2. B
   directly proportional to '$\eta$'
3. C
   directly proportional to 'd'
4. D
   directly proportional to '$\rho$'

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

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1. A
   directly proportional to n.
2. B
   inversely proportional to n.
3. C
   directly proportional to $n^2$
4. D
   inversely proportional to $n^2$

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1. A
   $1 : 3$
2. B
   $3^{1/4} : 1$
3. C
   $9^{1/4} : 1$
4. D
   $81 : 1$

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1. A
   width of depletion layer increases.
2. B
   electric conduction is not possible at all.
3. C
   barrier voltage increases.
4. D
   width of depletion layer decreases.

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1. A
   $\frac{\lambda_1}{\lambda_2}$
2. B
   $\frac{\lambda_2}{\lambda_1}$
3. C
   $\frac{\lambda_1^2}{\lambda_2^2}$
4. D
   $\frac{\lambda_2^2}{\lambda_1^2}$

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

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

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1. A
   $l_A = 200\text{ cm}, l_B = 140\text{ cm}$
2. B
   $l_A = 180\text{ cm}, l_B = 120\text{ cm}$
3. C
   $l_A = 160\text{ cm}, l_B = 100\text{ cm}$
4. D
   $l_A = 120\text{ cm}, l_B = 60\text{ cm}$

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

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1. A
   12 V
2. B
   8 V
3. C
   6 V
4. D
   4 V

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

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

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