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1. A
   $K_1 + K_2$
2. B
   $\frac{K_1 + K_2}{K_1 - K_2}$
3. C
   $\frac{2K_1 K_2}{K_1 + K_2}$
4. D
   $\frac{K_1 + K_2}{2K_1 K_2}$

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1. A
   $16$
2. B
   $8$
3. C
   $4$
4. D
   $2$

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1. A
   may increase or decrease depending upon the percentage of doping.
2. B
   increases.
3. C
   decreases.
4. D
   does not change.

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1. A
   $\frac{\mu_0 I}{3R}$ in upward direction
2. B
   $\frac{\mu_0 I}{2R}$ in downward direction
3. C
   $\frac{3\mu_0 I}{8R}$ in downward direction
4. D
   $\frac{3\mu_0 I}{8R}$ in upward direction

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1. A
   $1$
2. B
   $2$
3. C
   $6$
4. D
   $4$

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1. A
   $\text{CH}_3\text{COOH}$
2. B
   $\text{H}_2\text{C}_2\text{O}_4$
3. C
   $\text{HCl}$
4. D
   $\text{NH}_3$

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1. A
   Liquid in solid
2. B
   Solid in gas
3. C
   Solid in liquid
4. D
   Liquid in gas

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1. A
   $0.111$ nm
2. B
   $0.0333$ nm
3. C
   $1.22$ nm
4. D
   $2.42$ nm

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1. A
   $\text{C}_6\text{H}_5\text{-CH}_2\text{COOH}$
2. B
   $\text{C}_6\text{H}_5\text{-CH}_2\text{-CH}_2\text{-CH}_2\text{-COOH}$
3. C
   $\text{C}_6\text{H}_5\text{-OH}$
4. D
   $\text{C}_6\text{H}_5\text{-COOH}$

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1. A
   2-Ethyl-3-methylcyclopentanol
2. B
   2-Ethyl-5-methylcyclopentanol
3. C
   2-Methyl-3-ethylcyclopentanol
4. D
   1-Methyl-3-ethylcyclopentan-2-ol

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1. A
   $0.42$ cm$^{-1}$
2. B
   $0.84$ cm$^{-1}$
3. C
   $0.60$ cm$^{-1}$
4. D
   $1.04$ cm$^{-1}$

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1. A
   $-307.50$ kJ
2. B
   $-342.48$ kJ
3. C
   $-412.00$ kJ
4. D
   $-214.48$ kJ

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1. A
   $0.0102$ min$^{-1}$
2. B
   $0.0204$ min$^{-1}$
3. C
   $0.0306$ min$^{-1}$
4. D
   $0.0408$ min$^{-1}$

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1. A
   $\text{SOCl}_2$
2. B
   $\text{COCl}_2$
3. C
   $(\text{ClCH}_2)_2\text{S}$
4. D
   $\text{CCl}_3\text{NO}_2$

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1. A
   $\beta\text{-1,4}$ and $\alpha\text{-1,4}$
2. B
   $\alpha\text{-1,6}$ and $\beta\text{-1,4}$
3. C
   $\beta\text{-1,6}$ and $\beta\text{-1,4}$
4. D
   $\alpha\text{-1,4}$ and $\alpha\text{-1,6}$

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1. A
   $0.0721$
2. B
   $0.0552$
3. C
   $0.0625$
4. D
   $0.9375$

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1. A
   2-Bromopropane
2. B
   2-Bromo-2-methylbutane
3. C
   2-Bromo-3-methylbutane
4. D
   3-Bromopentane

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1. A
   Stephen reduction
2. B
   Clemmensen reduction
3. C
   Wolf Kishner reduction
4. D
   Rosenmund reduction

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1. A
   $-48$ J
2. B
   $-40$ J
3. C
   $32$ J
4. D
   $24$ J

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1. A
   $\text{SO}_3$
2. B
   $\text{NO}$
3. C
   $\text{Al}_2\text{O}_3$
4. D
   $\text{CaO}$

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1. A
   $\text{RCONH}_2 \xrightarrow{\text{Br}_2/\text{KOH(aq)}} \text{R-NH}_2$
2. B
   $\text{R-NH}_2 \xrightarrow{\text{R-X (excess)}} \text{R}_4\text{NX}$
3. C
   $\text{R}_4\text{NX} \xrightarrow{\text{moist Ag}_2\text{O}, \Delta} \text{Alkene} + \text{R}_3\text{N}$
4. D
   $\text{RCN} \xrightarrow{\text{Na/C}_2\text{H}_5\text{OH}} \text{RCH}_2\text{NH}_2$

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1. A
   $0.5x$ mol dm$^{-3}$ s$^{-1}$
2. B
   $x$ mol dm$^{-3}$ s$^{-1}$
3. C
   $2x$ mol dm$^{-3}$ s$^{-1}$
4. D
   $\frac{3}{2}x$ mol dm$^{-3}$ s$^{-1}$

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1. A
   Ethanol
2. B
   Ethanoic acid
3. C
   Ethanal
4. D
   Ethyl ethanoate

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1. A
   1-Fluoro-2-methylpropane
2. B
   2-Fluoro-2-methylpropane
3. C
   1-Fluorobutane
4. D
   2-Fluorobutane

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1. A
   $E^\circ_{cell} = -\frac{2.303RT}{nF}$
2. B
   $E^\circ_{cell} = \frac{0.0592}{nF}\log_{10} K$
3. C
   $E^\circ_{cell} = \frac{0.0592}{n}\log_{10} K$
4. D
   $E^\circ_{cell} = \frac{0.0592}{n}\ln K$

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