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1. A
   $8\pi^2$
2. B
   $16\pi^2$
3. C
   $24\pi^2$
4. D
   $32\pi^2$

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1. A
   40 kWb
2. B
   140 kWb
3. C
   240 kWb
4. D
   280 kWb

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1. A
   area under velocity–time graph.
2. B
   area under distance–time graph.
3. C
   slope of the velocity–time graph.
4. D
   slope of the distance–time graph.

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1. A
   $\mu_0$
2. B
   $\frac{\mu_0}{2}$
3. C
   $\sqrt{2}\mu_0$
4. D
   $2\mu_0$

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1. A
   straight line D
2. B
   curve C
3. C
   straight line B
4. D
   curve A

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

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1. A
   $\frac{R^2}{r_1 r_2}$
2. B
   $\frac{R^3}{r_1 r_2^2}$
3. C
   $\frac{R^3}{r_1^2 r_2}$
4. D
   $\frac{R^4}{r_1^2 r_2^2}$

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1. A
   1 s
2. B
   1.5 s
3. C
   2 s
4. D
   2.5 s

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1. A
   $-24\pi a \epsilon_0 r$
2. B
   $-6a\epsilon_0 r$
3. C
   $-24\pi a\epsilon_0$
4. D
   $-6a\epsilon_0$

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1. A
   there is no exchange of energy between L and C.
2. B
   the current in the circuit is in the same direction.
3. C
   the instantaneous current in the circuit may be $V\sqrt{\frac{C}{L}}$.
4. D
   the energy stored in the circuit is purely in the form of magnetic energy.

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1. A
   $-1$
2. B
   $+1$
3. C
   zero
4. D
   $+2$

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

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1. A
   greater magnification.
2. B
   greater resolution.
3. C
   reducing lens aberration.
4. D
   ease of manufacture.

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1. A
   $2\,\mu F$
2. B
   $4\,\mu F$
3. C
   $6\,\mu F$
4. D
   $8\,\mu F$

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1. A
   three nodes and two antinodes.
2. B
   three nodes and three antinodes.
3. C
   four nodes and three antinodes.
4. D
   three nodes and four antinodes.

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

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1. A
   Li
2. B
   Be
3. C
   Cs
4. D
   Mg

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

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1. A
   Polyacrylonitrile
2. B
   Nylon 6,6
3. C
   Nylon 6
4. D
   Terylene

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1. A
   Sea water
2. B
   Bronze
3. C
   Carbonated water
4. D
   Chloroform in nitrogen

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1. A
   Cyclohexanol
2. B
   Cyclohexanone
3. C
   Benzoic acid
4. D
   Adipic acid

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1. A
   $E_{\text{cell}} = E^\circ_{\text{cell}} + 0.0592$ V
2. B
   $E_{\text{cell}} = E^\circ_{\text{cell}} - 0.0592$ V
3. C
   $E_{\text{cell}} = E^\circ_{\text{cell}} - 0.0296$ V
4. D
   $E_{\text{cell}} = E^\circ_{\text{cell}} + 0.0296$ V

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1. A
   Alkyl iodides
2. B
   Alkyl bromides
3. C
   Alkyl chlorides
4. D
   Alkyl fluorides

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

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1. A
   Oxidation of $\text{SO}_2$(g) in presence of $\text{NO}$(g).
2. B
   Decomposition of aqueous $\text{H}_2\text{O}_2$ in presence of $\text{I}^-_{(\text{aq})}$.
3. C
   Hydrolysis of sugar in presence of aq. $\text{H}_2\text{SO}_4$.
4. D
   Hydrogenation of vegetable oil in presence of $\text{Ni}$(s).

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