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

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1. A
   243
2. B
   9
3. C
   7
4. D
   81

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1. A
   $\frac{19}{2}$
2. B
   $\frac{13}{2}$
3. C
   $\frac{11}{2}$
4. D
   $\frac{15}{2}$

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1. A
   $15\text{ }m,37^{\circ}$ North to East
2. B
   $15\text{ }m,37^{\circ}$ East to North
3. C
   $15\text{ }m,37^{\circ}$ North to West
4. D
   None of these

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1. A
   $\frac{1}{3}\text{ }mm/s$
2. B
   $3\text{ }mm/s$
3. C
   $\frac{1}{3}\text{ }cm/s$
4. D
   $3\text{ }cm/s$

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1. A
   $100\text{ }N$
2. B
   $150\text{ }N$
3. C
   $120\text{ }N$
4. D
   $140\text{ }N$

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1. A
   $0.5sec$
2. B
   $1sec$
3. C
   $\sqrt{2}\sec$
4. D
   $\sqrt{3}\sec$

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1. A
   $200\pi J$
2. B
   $- 200\pi J$
3. C
   $100\pi J$
4. D
   $- 100\pi J$

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1. A
   $\sqrt{A^{2} + B^{2} + 2A \cdot B}$
2. B
   $\sqrt{A^{2} + B^{2} + \sqrt{2}AB}$
3. C
   $\sqrt{A^{2} + B^{2} - \sqrt{2}AB}$
4. D
   $\sqrt{A^{2} + B^{2}}$

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

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1. A
   $\frac{V}{3}$
2. B
   $\frac{V}{4}$
3. C
   $\frac{V}{9}$
4. D
   $\frac{V}{12}$

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1. A
   $0.91eV$
2. B
   $0.81eV$
3. C
   $0.01eV$
4. D
   $0.5eV$

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1. A
   $\left\lbrack M^{0}L^{0}T^{0} \right\rbrack,\left\lbrack M^{1}L^{2}T^{- 2}K^{- 1} \right\rbrack$
2. B
   $\left\lbrack M^{1}L^{2}T^{- 2} \right\rbrack,\left\lbrack M^{1}L^{2}T^{- 2}K^{- 1} \right\rbrack$
3. C
   $\left\lbrack M^{1}L^{2}T^{- 2}K^{- 1} \right\rbrack,\left\lbrack M^{0}L^{0}T^{0} \right\rbrack$
4. D
   None of these

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

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1. A
   $25\text{ }mA$
2. B
   $50\text{ }mA$
3. C
   $100\text{ }mA$
4. D
   zero

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1. A
   $55 \times 10^{- 4}\text{ }V/m$
2. B
   $\frac{5}{11} \times 10^{- 4}\text{ }V/m$
3. C
   $\frac{11}{5} \times 10^{- 4}\text{ }V/m$
4. D
   $\frac{55}{2} \times 10^{- 4}\text{ }V/m$

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1. A
   $hv$
2. B
   $hv\left( 1 - \frac{hv}{2mc^{2}} \right)$
3. C
   $hv\left( 1 + \frac{hv}{2mc^{2}} \right)$
4. D
   zero

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

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

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1. A
   $500R$
2. B
   $400R$
3. C
   $300R$
4. D
   $50R$

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

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1. A
   $\left( \frac{\ln2}{\ln3},\frac{1400}{3} \right)$ years
2. B
   $\frac{\ln3}{\ln2}(1400)$ years
3. C
   $\frac{\ln3}{\ln2}\frac{1400}{3}$ years
4. D
   $\frac{\ln3}{\ln2}(700)$ years

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1. A
   666.67
2. B
   650.33
3. C
   459.50
4. D
   576.62

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1. A
   $5.34eV$
2. B
   $2.01eV$
3. C
   $7.54eV$
4. D
   $9.24eV$

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1. A
   The diameter of the dispersed particles is much smaller than the wavelength of the light used
2. B
   The refractive indices of the dispersed phase and the dispersion medium are same in magnitude
3. C
   The radius of the dispersed particles is much smaller than the wavelength of the light used
4. D
   The refractive indices of the dispersed phase and the dispersion medium is not differ greatly in magnitude

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