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

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1. A
   $\frac{C}{(K-1)}$
2. B
   $\frac{KC}{K-1}$
3. C
   $KC+1$
4. D
   $C(K-1)$

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1. A
   $\frac{2V}{RT}(P-P')$
2. B
   $\frac{V}{RT}(P-P')$
3. C
   $\frac{V}{RT}(P+P')$
4. D
   $\frac{V}{2RT}(P+P')$

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1. A
   mass of the earth.
2. B
   mass of the object to be projected.
3. C
   radius of the earth.
4. D
   gravitational constant.

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1. A
   the potential is same everywhere.
2. B
   there is an electric field at the junction directed from the p-type side to the n-type side.
3. C
   there is an electric field at the junction directed from the n-type side to the p-type side.
4. D
   the p-type side is at higher potential than the n-type side.

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1. A
   $23^\circ$ C
2. B
   $47^\circ$ C
3. C
   $80^\circ$ C
4. D
   $114^\circ$ C

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

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1. A
   3 times
2. B
   2 times
3. C
   9 times
4. D
   5 times

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1. A
   same, reversed.
2. B
   twice, reversed.
3. C
   thrice, same.
4. D
   twice, same.

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1. A
   540
2. B
   600
3. C
   640
4. D
   6400

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

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

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1. A
   320 Hz, 326 Hz
2. B
   414 Hz, 420 Hz
3. C
   420 Hz, 426 Hz
4. D
   480 Hz, 486 Hz

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1. A
   2.00
2. B
   2.25
3. C
   2.50
4. D
   3.00

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

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1. A
   1-Bromo-1,1-dimethylbut-2-ene
2. B
   4-Bromo-4-methylpent-2-ene
3. C
   2-Bromo-2-methylpent-3-ene
4. D
   4-Bromo-4,4-dimethylbut-2-ene

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1. A
   $4 \times 10^{-4}$
2. B
   $4 \times 10^{-6}$
3. C
   $5 \times 10^{-6}$
4. D
   $5 \times 10^{-7}$

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1. A
   NaBr
2. B
   NaCl
3. C
   NaNO$_3$
4. D
   Na$_2$SO$_4$

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

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1. A
   $\text{Zn}_{(s)} \to \text{Zn}^{2+}_{(aq)} + 2e^-$
2. B
   $\text{Zn}^{2+}_{(aq)} + 2e^- \to \text{Zn}_{(s)}$
3. C
   $\text{H}_{2(g)} \to 2\text{H}^+_{(g)} + 2e^-$
4. D
   $2\text{H}^+_{(aq)} + 2e^- \to \text{H}_{2(g)}$

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1. A
   Nylon 6, 6
2. B
   Urea formaldehyde resin
3. C
   Polystyrene
4. D
   Neoprene

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1. A
   $\frac{d[\text{N}_2]}{dt} = -3\frac{d[\text{H}_2]}{dt} = 2\frac{d[\text{NH}_3]}{dt}$
2. B
   $\frac{d[\text{N}_2]}{dt} = -\frac{1}{3}\frac{d[\text{H}_2]}{dt} = \frac{1}{2}\frac{d[\text{NH}_3]}{dt}$
3. C
   $-\frac{d[\text{N}_2]}{dt} = -\frac{1}{3}\frac{d[\text{H}_2]}{dt} = \frac{1}{2}\frac{d[\text{NH}_3]}{dt}$
4. D
   $\frac{d[\text{N}_2]}{dt} = \frac{1}{3}\frac{d[\text{H}_2]}{dt} = -\frac{1}{2}\frac{d[\text{NH}_3]}{dt}$

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1. A
   Electrolysis of pure water
2. B
   Action of NaOH on Zinc
3. C
   From hydrocarbons
4. D
   Electrolysis of warm BaSO$_4$ solution

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

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1. A
   $43.5\text{ kJ mol}^{-1}$
2. B
   $35.3\text{ kJ mol}^{-1}$
3. C
   $30.6\text{ kJ mol}^{-1}$
4. D
   $40.7\text{ kJ mol}^{-1}$

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