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1. A
   $20$
2. B
   $18$
3. C
   $14$
4. D
   $10$

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1. A
   $18$ and $\dfrac{1}{3}$
2. B
   $9$ and $\dfrac{1}{3}$
3. C
   $18$ and $\dfrac{2}{3}$
4. D
   $9$ and $\dfrac{2}{3}$

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1. A
   $s \leq \frac{v_A - v_B}{2}$
2. B
   $s \leq \frac{(v_A - v_B)^2}{2a}$
3. C
   $s \geq \frac{v_A - v_B}{2}$
4. D
   $s = \frac{v_A - v_B}{2a}$

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1. A
   6 m
2. B
   12 m
3. C
   16 m
4. D
   18 m

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1. A
   180 m
2. B
   120 m
3. C
   140 m
4. D
   110 m

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1. A
   7 m
2. B
   8.6 m
3. C
   9.6 m
4. D
   10 m

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1. A
   5 m/s
2. B
   10 m/s
3. C
   15 m/s
4. D
   20 m/s

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1. A
   6 m from 2 kg sphere
2. B
   2 m from 4 kg sphere
3. C
   3 m from 2 kg sphere
4. D
   6 m from 4 kg sphere

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1. A
   $\frac{3}{2}$ times kinetic energy per unit volume of gas
2. B
   $\frac{1}{3}$ of kinetic energy per unit volume of a gas
3. C
   $\frac{3}{4}$ of kinetic energy per unit volume of a gas
4. D
   $\frac{2}{3}$ of kinetic energy per unit volume of a gas

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1. A
   A black body emits all wavelengths.
2. B
   Intensity is less for longer wavelengths.
3. C
   Intensity is same for all wavelengths.
4. D
   Intensity is more for shorter wavelengths.

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1. A
   8 times
2. B
   20 times
3. C
   16 times
4. D
   12 times

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1. A
   $p$ may increase or decrease
2. B
   $T$ will decrease
3. C
   $V$ will increase
4. D
   $T$ will increase

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1. A
   $2\pi\sqrt{\frac{x_2^2 - x_1^2}{v_2^2 - v_1^2}}$
2. B
   $2\pi\sqrt{\frac{x_1^2 - x_2^2}{v_2^2 - v_1^2}}$
3. C
   $2\pi\sqrt{\frac{x_1 x_2}{v_2^2 - v_1^2}}$
4. D
   $2\pi\sqrt{\frac{x_1 + x_2}{v_1 v_2}}$

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1. A
   16 m/s
2. B
   1.6 m/s
3. C
   0.16 m/s
4. D
   0.016 m/s

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1. A
   0.05 m
2. B
   0.10 m
3. C
   0.12 m
4. D
   0.72 m

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1. A
   $1\ \text{ms}^{-1}$
2. B
   $2\ \text{ms}^{-1}$
3. C
   $5\ \text{ms}^{-1}$
4. D
   $7\ \text{ms}^{-1}$

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1. A
   $\frac{A\varepsilon_0}{2\left(d - t\left(1-\frac{1}{k}\right)\right)}$
2. B
   $\frac{A\varepsilon_0}{d + t\left(1+\frac{1}{k}\right)}$
3. C
   $\frac{A\varepsilon_0}{d - t\left(1-\frac{1}{k}\right)}$
4. D
   $\frac{A\varepsilon_0}{d - t\left(1+\frac{1}{k}\right)}$

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1. A
   By increasing $S$ by $3\ \Omega$
2. B
   By increasing $Q$ by $20\ \Omega$
3. C
   By increasing $R$ by $30\ \Omega$
4. D
   Both (a) and (b)

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

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

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

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1. A
   $\sqrt{\frac{K(\rho_1-\rho_2)}{Vg}}$
2. B
   $\sqrt{\frac{Vg(\rho_1-\rho_2)}{K}}$
3. C
   $\sqrt{\frac{Vg(\rho_1-\rho_2)}{K}}$
4. D
   $\sqrt{\frac{Vg(\rho_1-\rho_2)}{2K}}$

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

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

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1. A
   6000 Å
2. B
   3500 Å
3. C
   4200 Å
4. D
   4700 Å

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