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1. A
   $3\times10^{-6}$ Nm
2. B
   $12\times10^{-6}$ Nm
3. C
   $6\times10^{-6}$ Nm
4. D
   $24\times10^{-6}$ Nm

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

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1. A
   $ml^2\omega^2$
2. B
   $\dfrac{ml^2\omega^2}{4}$
3. C
   $\dfrac{ml^2\omega^2}{6}$
4. D
   $\dfrac{ml^2\omega^2}{12}$

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1. A
   1:1
2. B
   $\dfrac{R-2h}{R-d}$
3. C
   $\dfrac{R-d}{R-2h}$
4. D
   $\dfrac{R-d}{R-h}$

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1. A
   $\lambda\propto E$
2. B
   $\lambda\propto E^{-1}$
3. C
   $\lambda\propto E^{1/2}$
4. D
   $\lambda\propto E^{-1/2}$

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

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1. A
   the sphere reaches room temperature fast.
2. B
   the cube reaches room temperature fast.
3. C
   the circular plate reaches room temperature fast.
4. D
   will reach the room temperature simultaneously.

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1. A
   1 m
2. B
   0.75 m
3. C
   0.5 m
4. D
   0.25 m

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1. A
   5 in parallel and 2 in series.
2. B
   4 in parallel and 3 in series.
3. C
   3 in parallel and 4 in series.
4. D
   2 in parallel and 5 in series

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

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1. A
   $mL^2\omega$
2. B
   $mL\omega^2$
3. C
   $\omega^2 mL$
4. D
   $m\omega^2 L$

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1. A
   1 A from Q to P
2. B
   1 A from P to Q
3. C
   3 A from P to Q
4. D
   2 A from Q to P

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1. A
   impedance
2. B
   admittance
3. C
   resistance
4. D
   inductive and capacitive reactance

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1. A
   $\dfrac{V^2}{r}$
2. B
   $\dfrac{2V^2}{r}$
3. C
   $\dfrac{2V^2}{\pi r}$
4. D
   $\dfrac{V^2}{\pi r}$

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1. A
   varying electric field.
2. B
   varying magnetic field.
3. C
   the iron core.
4. D
   heat produced in the coil.

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1. A
   $\Delta U=dW$ is an isothermal process
2. B
   $\Delta U=-dW$ is an adiabatic process
3. C
   $\Delta U=-dW$ is an isothermal process
4. D
   $\Delta U=dW$ is an adiabatic process.

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1. A
   $2\times10^{-3}$ s
2. B
   0.5 s
3. C
   0.1 s
4. D
   1 s

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1. A
   System can exchange heat energy with the surrounding.
2. B
   Enthalpy of system remains constant
3. C
   Temperature of systems remains constant.
4. D
   Internal energy of system remains constant.

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1. A
   $\text{PCl}_3$
2. B
   $\text{HCl}$
3. C
   $\text{PCl}_5$
4. D
   $\text{SOCl}_2$

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1. A
   $-42.5\,\text{J K}^{-1}$
2. B
   $-23.3\,\text{J K}^{-1}$
3. C
   $-30.7\,\text{J K}^{-1}$
4. D
   $-110.0\,\text{J K}^{-1}$

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1. A
   Bakelite
2. B
   Teflon
3. C
   Melamine-formaldehyde
4. D
   Polyacrylonitrile

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1. A
   Sucrose
2. B
   Maltose
3. C
   Lactose
4. D
   Glucose

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1. A
   $\text{X}_2\text{Y}_3$
2. B
   $\text{XY}$
3. C
   $\text{X}_3\text{Y}_2$
4. D
   $\text{XY}_2$

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1. A
   Platinized asbestos
2. B
   Fe-Cr catalyst
3. C
   Ni
4. D
   $\text{MnO}_2$

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1. A
   273
2. B
   327
3. C
   600
4. D
   453

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