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1. A
   0.5 f
2. B
   0.66 f
3. C
   f
4. D
   1.5 f

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1. A
   $\sqrt{\frac{mc}{E}}$
2. B
   $\sqrt{\frac{2mc}{E}}$
3. C
   $c\sqrt{\frac{m}{E}}$
4. D
   $c\sqrt{\frac{2m}{E}}$

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1. A
   819 K, $\sqrt{3}\,u$ m/s
2. B
   1092 K, $3u$ m/s
3. C
   819 K, $\frac{u}{\sqrt{3}}$ m/s
4. D
   1092 K, $\frac{u}{\sqrt{3}}$ m/s

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1. A
   $\frac{v}{10}$
2. B
   $\frac{v}{2}$
3. C
   $2v$
4. D
   $10v$

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1. A
   $2\pi\sqrt{\frac{M}{Agd}}$
2. B
   $2\pi\sqrt{\frac{M}{2Adg}}$
3. C
   $2\pi\sqrt{\frac{M}{g}}$
4. D
   $2\pi\sqrt{\frac{Mg}{dA}}$

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

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

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1. A
   $\left(\frac{2G}{r}\right)^{1/2}\!\left(M_2+\frac{M_1}{2}\right)^{1/2}$
2. B
   $\left(\frac{4G}{r}\right)^{1/2}\!\left(M_1+\frac{M_2}{2}\right)^{1/2}$
3. C
   $\left(\frac{3G}{r}\right)^{1/2}\!(M_1+M_2)^{1/2}$
4. D
   $\left(\frac{6G}{r}\right)^{1/2}\!\left(M_1+\frac{M_2}{2}\right)^{1/2}$

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1. A
   $\frac{m-1}{n}$
2. B
   $\frac{2m-1}{n}$
3. C
   $\frac{2m-1}{2n}$
4. D
   $\frac{2m+1}{2n}$

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1. A
   $\frac{L}{4}$
2. B
   $\frac{5}{4}L$
3. C
   $\frac{7}{4}L$
4. D
   L

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1. A
   twice that of B.
2. B
   equal to that of B.
3. C
   more than that of B.
4. D
   less than that of B.

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1. A
   4180 Å
2. B
   4425 Å
3. C
   5330 Å
4. D
   6235 Å

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1. A
   $\frac{\alpha_2}{\alpha_1}$
2. B
   $\frac{\alpha_1}{\alpha_2}$
3. C
   $\frac{\alpha_2}{\alpha_1+\alpha_2}$
4. D
   $\frac{\alpha_1}{\alpha_1-\alpha_2}$

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1. A
   magnetic flux is zero and induced e.m.f. is maximum.
2. B
   magnetic flux is maximum and induced e.m.f. is zero.
3. C
   both magnetic flux and induced e.m.f. are maximum.
4. D
   both magnetic flux and induced e.m.f. are zero.

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

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

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1. A
   20 watt
2. B
   15 watt
3. C
   10 watt
4. D
   5 watt

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1. A
   $10\ \Omega$
2. B
   $8\ \Omega$
3. C
   $6\ \Omega$
4. D
   $4\ \Omega$

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1. A
   1.732
2. B
   1.414
3. C
   1.5
4. D
   1.33

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

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1. A
   $4\alpha,5\beta$
2. B
   $5\alpha,3\beta$
3. C
   $6\alpha,7\beta$
4. D
   $8\alpha,6\beta$

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1. A
   $k$
2. B
   $2k$
3. C
   $k+E_0$
4. D
   $k+hv$

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1. A
   2:1
2. B
   4:1
3. C
   6:1
4. D
   8:1

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1. A
   840
2. B
   700
3. C
   175
4. D
   150

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1. A
   300 V, 15 A
2. B
   450 V, 15 A
3. C
   450 V, 13.5 A
4. D
   600 V, 15 A

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