1. A
   $3 \times 10^{5}\text{ }m{\text{ }s}^{- 1}$
2. B
   $4 \times 10^{5}\text{ }m{\text{ }s}^{- 1}$
3. C
   $6.25 \times 10^{5}\text{ }m{\text{ }s}^{- 1}$
4. D
   None

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1. A
   $t^{\frac{1}{2}}$
2. B
   $t^{\frac{3}{2}}$
3. C
   $t^{\frac{5}{2}}$
4. D
   None

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

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1. A
   $240\text{ }J$
2. B
   $360\text{ }J$
3. C
   $560\text{ }J$
4. D
   None

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1. A
   $2\pi\sqrt{\frac{\left( r_{1} + r_{2} \right)^{3}}{G\left( m_{1} + m_{2} \right)}}$
2. B
   $2\pi\sqrt{\frac{\left( r_{1} + r_{2} \right)r_{2}^{2}}{G\left( m_{1} + m_{2} \right)}}$
3. C
   $\frac{2\pi\left( r_{1} + r_{2} \right)^{\frac{3}{2}}}{\sqrt{G\left( m_{1} + m_{2} \right)}}$
4. D
   $\frac{2\pi\left( r_{1} + r_{2} \right)^{2}r_{1}}{G\left( m_{1} + m_{2} \right)}$

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1. A
   $100\ln2$
2. B
   $- 100\ln2$
3. C
   $200\ln2$
4. D
   $- 200\ln2$

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1. A
   $\frac{205}{4}(rev)$
2. B
   $\frac{307}{3}(rev)$
3. C
   $75(rev)$
4. D
   $\frac{189}{2}(rev)$

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1. A
   $\left| t_{1} - t_{2} \right|$
2. B
   $\frac{t_{1} + t_{2}}{2}$
3. C
   $\frac{2t_{1}t_{2}}{t_{1} + t_{2}}$
4. D
   $\frac{t_{1}t_{2}}{t_{1} + t_{2}}$

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1. A
   $\frac{1}{2\pi}\sqrt{\frac{x_{2} - x_{1}}{\left( v_{1} - v_{2} \right)}}$
2. B
   $2\pi\sqrt{\frac{\left( x_{1}^{2} + x_{2}^{2} \right)}{\left( v_{2}^{2} + v_{1}^{2} \right)}}$
3. C
   $2\pi\sqrt{\frac{\left( x_{2}^{2} - x_{1}^{2} \right)}{\left( v_{1}^{2} - v_{2}^{2} \right)}}$
4. D
   $2\pi\sqrt{\frac{\left( x_{1}x_{2} - x_{1}^{2} \right)}{\left( v_{1}v_{2} - v_{1}^{2} \right)}}$

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1. A
   $2\pi \times 10^{- 4}$ SI units
2. B
   $2\pi \times 10^{- 7}$ SI units
3. C
   $\frac{5\pi}{4} \times 10^{- 7}$ SI units
4. D
   $\frac{4\pi}{5} \times 10^{- 4}$ SI units

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1. A
   $100\%$
2. B
   $200\%$
3. C
   $300\%$
4. D
   $400\%$

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1. A
   $\frac{2mc\lambda^{2}}{h}$
2. B
   $\frac{2h}{mc}$
3. C
   $\frac{h}{mc}$
4. D
   None

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1. A
   $5sec$
2. B
   $\frac{4}{3}\sec$
3. C
   $2.5sec$
4. D
   $7.5sec$

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

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1. A
   $\tan^{- 1}\left( \frac{\sqrt{3}}{2} \right)$
2. B
   $\tan^{- 1}\left( \frac{1}{2} \right)$
3. C
   $30^{\circ}$
4. D
   $60^{\circ}$

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1. A
   $CO$
2. B
   ${NO}_{2}$
3. C
   ${CO}_{2}$
4. D
   $CFC$

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1. A
   Ammonia gas
2. B
   Ethyne
3. C
   But-2-yne
4. D
   All of these

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1. A
   ${sp}^{2},sp,{sp}^{3}$
2. B
   $sp,sp,{sp}^{3}$
3. C
   ${sp}^{2},sp,sp$
4. D
   ${sp}^{2},{sp}^{2},{sp}^{3}$

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1. A
   Silver nitrate
2. B
   Copper nitrate
3. C
   Copper sulphate
4. D
   None of these

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1. A
   Al
2. B
   $Sb$
3. C
   $Cd$
4. D
   $Sn$

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1. A
   ${Cu}_{2}I_{2}$
2. B
   $CuI$
3. C
   ${CuI}_{2}$
4. D
   None of these

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1. A
   Both acid
2. B
   Both base
3. C
   ${HNO}_{3}:$ Acid & $H_{2}{SO}_{4}:$ Base
4. D
   ${HNO}_{3}:$ Base & $H_{2}{SO}_{4}:$ Acid

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1. A
   Acetaldehyde
2. B
   Methanal
3. C
   Phenol
4. D
   Ethylene glycol

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1. A
   Acid chloride $>$ Acid anhydride $>$ Ester
2. B
   Ester $>$ Acid chloride $>$ Acid anhydride
3. C
   Acid anhydride $>$ Ester $>$ Acid chloride
4. D
   Acid chloride $<$ Acid anhydride $<$ Ester

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

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