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1. A
   $\dfrac{2A\epsilon_0 K_1 K_2}{d(3K_1+K_2)}$
2. B
   $\dfrac{3A\epsilon_0(K_1+K_2)}{d\,K_1 K_2}$
3. C
   $\dfrac{3A\epsilon_0(K_1+K_2)}{2d\,K_1 K_2}$
4. D
   $\dfrac{4A\epsilon_0 K_1 K_2}{d(3K_1+K_2)}$

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1. A
   $2\times10^{-2}\,N$
2. B
   $4\times10^{-3}\,N$
3. C
   $2\times10^{2}\,N$
4. D
   $10^{-2}\,N$

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1. A
   $50^\circ$
2. B
   $60^\circ$
3. C
   $72^\circ$
4. D
   $90^\circ$

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1. A
   $\dfrac{2mg(s-h)}{h^2}$
2. B
   $\dfrac{2mg(s+h)}{h^2}$
3. C
   $\dfrac{mg(s-h)}{h}$
4. D
   $\dfrac{mg(s+h)}{h}$

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1. A
   equal to g
2. B
   less than g
3. C
   more than g
4. D
   zero

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1. A
   $\frac{81}{16}E$
2. B
   $\frac{27}{32}E$
3. C
   $\frac{18}{10}E$
4. D
   $\frac{9}{4}E$

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1. A
   $\left(\dfrac{m_2}{m_1+m_2}\right)^{1/2}$
2. B
   $\left(\dfrac{m_1+m_2}{m_2}\right)^{1/2}$
3. C
   $\left(\dfrac{m_1}{m_1+m_2}\right)^{1/2}$
4. D
   $\left(\dfrac{m_2}{m_1-m_2}\right)^{1/2}$

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1. A
   $mg\!\left(1+\dfrac{\sigma_2}{\sigma_1}\right)$
2. B
   $mg\!\left(1-\dfrac{\sigma_1}{\sigma_2}\right)$
3. C
   $mg\!\left(1-\dfrac{\sigma_2}{\sigma_1}\right)$
4. D
   $mg\!\left(1+\dfrac{\sigma_1}{\sigma_2}\right)$

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1. A
   Wavelength is increased to $\frac{1}{\sqrt{2}}$ times.
2. B
   Wavelength is increased to $\frac{1}{\sqrt{2}}$ times.
3. C
   Wavelength is decreased to $\frac{1}{\sqrt{2}}$ times.
4. D
   Wavelength is decreased to $\frac{1}{\sqrt{2}}$ times.

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1. A
   $\frac{2}{5}MR^2$
2. B
   $\frac{5}{2}MR^2$
3. C
   $\frac{5}{21}MR^2$
4. D
   $\frac{2}{15}MR^2$

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1. A
   $\frac{\pi}{8}\,m$
2. B
   $\frac{\pi}{9}\,m$
3. C
   $\frac{\pi}{6}\,m$
4. D
   $\frac{\pi}{3}\,m$

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

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1. A
   $-80\,V$
2. B
   $-120\,V$
3. C
   $80\,V$
4. D
   $120\,V$

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1. A
   $\dfrac{MV^2}{R}$
2. B
   $\dfrac{MV^2}{2R}$
3. C
   $\dfrac{MV^2}{3R}$
4. D
   $\dfrac{3MV^2}{2R}$

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1. A
   0.025 J
2. B
   0.050 J
3. C
   0.075 J
4. D
   0.100 J

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1. A
   $4\times10^{34}\,m^{-3}$
2. B
   $4\times10^{28}\,m^{-3}$
3. C
   $4\times10^{22}\,m^{-3}$
4. D
   $4\times10^{20}\,m^{-3}$

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1. A
   $\dfrac{\mu_0\pi r_2^2}{2r_1}$
2. B
   $\dfrac{\mu_0\pi r_2}{2r_1}$
3. C
   $\dfrac{\mu_0\pi r_2^2}{2r_1^2}$
4. D
   $\dfrac{\mu_0\pi r_2}{2r_1}$

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

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1. A
   $\frac{V}{3}\hat{i}+2V\hat{j}$
2. B
   $\frac{V}{2}\hat{i}+V\hat{j}$
3. C
   $\frac{V}{3}\hat{i}-2V\hat{j}$
4. D
   $\frac{V}{2}\hat{i}-V\hat{j}$

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1. A
   $\frac{3Gm_1m_2}{L^2}$
2. B
   $\frac{6Gm_1m_2}{L^2}$
3. C
   $\frac{9Gm_1m_2}{L^2}$
4. D
   $\frac{12Gm_1m_2}{L^2}$

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1. A
   $\dfrac{4\epsilon_0^2 h^4}{\pi^2 me^4}$
2. B
   $\dfrac{8\epsilon_0^2 h^4}{\pi^2 e^4}$
3. C
   $\dfrac{16\epsilon_0^2 h^4}{\pi^2 me^4}$
4. D
   $\dfrac{\epsilon_0^2 h^4}{16\pi^2 me^4}$

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1. A
   1:3
2. B
   3:1
3. C
   1:9
4. D
   9:1

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1. A
   Graph (a)
   
2. B
   Graph (b)
   
3. C
   Graph (c)
   
4. D
   Graph (d)
   

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

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1. A
   30 V
2. B
   200 V
3. C
   300 V
4. D
   400 V

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