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

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1. A
   $E_{y},B_{y}$ or $E_{z},B_{z}$
2. B
   $E_{y},B_{x}$ or $E_{x},B_{y}$
3. C
   $E_{x},B_{z}$ or $E_{z},B_{x}$
4. D
   $E_{x},B_{y}$ or $E_{y},B_{x}$

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

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

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

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1. A
   green
2. B
   red
3. C
   blue and green
4. D
   blue

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1. A
   60 minutes
2. B
   does not change
3. C
   1200 minutes
4. D
   84 minutes

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1. A
   not possible as proton mass is less than the neutron mass
2. B
   possible only inside the nucleus
3. C
   not possible but neutron to proton conversion is possible
4. D
   always possible as it is associated only with $\beta^{+}$decay

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

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

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1. A
   $\sin(\omega t) + \cos(\omega t)$
2. B
   $\cos(\omega t) + \cos(2\omega t) + \cos(3\omega t)$
3. C
   $\sin^{2}(\omega t)$
4. D
   $3\cos\left( \frac{\pi}{4} - 2\omega t \right)$

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1. A
   $\frac{7}{2}mg$
2. B
   $5mg$
3. C
   $\frac{mg}{5}$
4. D
   0

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1. A
   $\frac{L}{R}\ln5$
2. B
   infinite
3. C
   $\frac{L}{R}\ln2$
4. D
   $\frac{L}{R}\ln10$

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

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

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1. A
   $\sqrt{\frac{3}{3}}$
2. B
   $\sqrt{\frac{8}{3}}$
3. C
   $\sqrt{\frac{3\pi}{8}}$
4. D
   $\sqrt{\frac{8\pi}{3}}$

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1. A
   1837
2. B
   $\frac{1}{1837}$
3. C
   $\sqrt{1837}$
4. D
   $\frac{1}{\sqrt{1837}}$

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1. A
   ${NO}_{3}^{-} > {NO}_{2} > NO > N_{2}O$
2. B
   ${NO}_{2} > {NO}_{3}^{-} > NO > N_{2}O$
3. C
   $N_{2}O > {NO}_{2} > NO > {NO}_{3}^{-}$
4. D
   $NO > {NO}_{2} > N_{2}O > {NO}_{3}^{-}$

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1. A
   (A), (C) only
2. B
   (A) only
3. C
   (B) only
4. D
   (A), (B) only

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1. A
   ${CO}_{3}^{2 -}$
2. B
   ${HCO}_{3}^{-}$
3. C
   ${CO}_{2}$
4. D
   $CO$

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1. A
   ${SiO}_{2}$
2. B
   ${Mn}_{3}O_{4}$
3. C
   ${Na}_{2}O$
4. D
   $MgO$

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

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1. A
   Increase in blood clotting time
2. B
   Increase in fragility of ${RBC}'s$
3. C
   Cheilosis
4. D
   Decrease in blood clotting time

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1. A
   $C_{6}H_{5} - N - \left( {CH}_{3} \right)_{2}$
2. B
   $C_{6}H_{5} - {NHCH}_{2}{CH}_{3}$
3. C
   $C_{6}H_{5} - {CH}_{2}{NHCH}_{3}$
4. D
   $C_{6}H_{5} - CH - {NH}_{2}$

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1. A
   chlorine, lithium and sodium
2. B
   argon, lithium and sodium
3. C
   argon, chlorine and sodium
4. D
   neon, sodium and chlorine

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