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1. A
   Equation of state is $PV^\gamma=$ constant.
2. B
   There is exchange of heat with surrounding.
3. C
   All the work is utilized to change the internal energy of the system.
4. D
   Temperature of the system changes i.e. $\Delta T\neq0$

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1. A
   diffraction as well as photoelectric effect
2. B
   diffraction as well as reflection
3. C
   refraction as well as interference
4. D
   photoelectric effect

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1. A
   $T=\sqrt{\frac{T_1^2+T_2^2}{T_1^2 T_2^2}}$
2. B
   $T=\sqrt{\frac{T_1^2 T_2^2}{T_1^2+T_2^2}}$
3. C
   $T=\sqrt{T_1^2 T_2^2}$
4. D
   $T=\sqrt{T_1^2+T_2^2}$

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1. A
   $I_A>I_D>I_C>I_D$
2. B
   $I_D>I_C>I_B>I_A$
3. C
   $I_A=I_D>I_B=I_C$
4. D
   $I_A=I_B<I_B=I_C$

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

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

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

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

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1. A
   $\frac{1}{4\pi\varepsilon_0}\frac{Qq}{r^2}$
2. B
   $\frac{1}{4\pi\varepsilon_0}\frac{Qq}{r}\times\frac{\pi}{6}$
3. C
   $\frac{1}{4\pi\varepsilon_0}\frac{Qq}{r}$
4. D
   Zero

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1. A
   $ny:mx$
2. B
   $my:nx$
3. C
   $nx:my$
4. D
   $mx:ny$

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1. A
   its phase changes by $180^\circ$ but velocity does not change.
2. B
   its phase does not change but velocity changes.
3. C
   its velocity changes and phase changes by $180^\circ$
4. D
   nothing can be predicted about changes in its velocity and phase.

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1. A
   Decreases
2. B
   Does not change
3. C
   May increase or decrease depending on the dopant
4. D
   Increases

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1. A
   $\sqrt{\frac{\lambda R}{\lambda R-1}}$
2. B
   $\sqrt{\frac{\lambda R}{\lambda R-1}}$
3. C
   $\sqrt{\frac{\lambda R-1}{\lambda R}}$
4. D
   $\frac{1}{\sqrt{\lambda R(\lambda R-1)}}$

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1. A
   $\pi BR^2$
2. B
   $2\pi^2 BR^2\omega$
3. C
   $\pi BR^2\omega$
4. D
   $\frac{BR^2\omega}{2}$

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1. A
   $(A+B)\cdot(\bar{A}+\bar{B})$
2. B
   $(A\cdot B)+(A\cdot B)$
3. C
   $(\bar{A}\cdot\bar{B})+(\bar{A}\cdot\bar{B})$
4. D
   $(A\cdot\bar{B})+(\bar{A}\cdot B)$

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1. A
   partly kinetic and partly potential.
2. B
   totally kinetic.
3. C
   totally potential.
4. D
   neither kinetic nor potential

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

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1. A
   $\pi\ \text{mV}$
2. B
   $2\pi\ \text{mV}$
3. C
   $40\pi\ \mu\text{V}$
4. D
   $4\pi\ \mu\text{V}$

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1. A
   2 cm
2. B
   0.2 cm
3. C
   0.02 cm
4. D
   0.01 cm

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

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1. A
   1:2
2. B
   2:3
3. C
   3:4
4. D
   4:5

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

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1. A
   1-Iodo-1,3,4-trimethylhex-2-ene
2. B
   2-Iodo-4,5-dimethylhept-3-ene
3. C
   2-Iodo-5-ethyl-4-methylhex-3-ene
4. D
   1-Iodo-4-ethyl-1,3-dimethylpent-2-ene

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1. A
   8.62
2. B
   4.64
3. C
   5.66
4. D
   3.34

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1. A
   0
2. B
   1
3. C
   2
4. D
   2.5

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