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1. A
   NH$_4$Cl
2. B
   NH$_4$NO$_3$
3. C
   CuSO$_4$
4. D
   Na$_2$SO$_4$

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1. A
   ionic solid
2. B
   covalent network solid
3. C
   molecular solid
4. D
   metallic solid

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1. A
   $5.6 \times 10^{-3}$ min$^{-1}$
2. B
   $4.5 \times 10^{-3}$ min$^{-1}$
3. C
   $6.5 \times 10^{-3}$ min$^{-1}$
4. D
   $9.69 \times 10^{-3}$ min$^{-1}$

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1. A
   0.25 mol dm$^{-3}$ s$^{-1}$
2. B
   0.5 mol dm$^{-3}$ s$^{-1}$
3. C
   0.75 mol dm$^{-3}$ s$^{-1}$
4. D
   1.25 mol dm$^{-3}$ s$^{-1}$

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1. A
   H$_2$
2. B
   N$_2$
3. C
   Cl$_2$
4. D
   O$_2$

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1. A
   $6.0 \times 10^{-5}\ \Omega^{-1}$cm$^{-1}$
2. B
   $3.0 \times 10^{-5}\ \Omega^{-1}$cm$^{-1}$
3. C
   $9.0 \times 10^{-5}\ \Omega^{-1}$cm$^{-1}$
4. D
   $12 \times 10^{-5}\ \Omega^{-1}$cm$^{-1}$

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1. A
   210 J
2. B
   90 J
3. C
   450 J
4. D
   -300 J

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1. A
   Allylic alcohol
2. B
   Benzylic alcohol
3. C
   Vinylic alcohol
4. D
   Polyhydric alcohol

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1. A
   1.45
2. B
   1.26
3. C
   1.82
4. D
   3.00

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

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1. A
   $2\sqrt{5} + 4$
2. B
   $2\sqrt{5}$
3. C
   4
4. D
   8

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1. A
   $\frac{8}{\sqrt{35}}$
2. B
   $\frac{1}{\sqrt{35}}$
3. C
   $\frac{7}{\sqrt{35}}$
4. D
   $\frac{2}{\sqrt{35}}$

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

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1. A
   $\frac{1}{9x^4}$
2. B
   $-\frac{1}{3x^3}$
3. C
   $-\frac{1}{27x^9}$
4. D
   $\frac{1}{27x^6}$

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

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1. A
   $2\sqrt{\tan x} + \frac{1}{5}(\tan x)^{5/2} + c$
2. B
   $\sqrt{\tan x} + \frac{2}{5}(\tan x)^{5/2} + c$
3. C
   $\frac{1}{2}\sqrt{\tan x} + \frac{2}{5}(\tan x)^{5/2} + c$
4. D
   $2\sqrt{\tan x} + \frac{1}{5}(\tan x)^{5/2} + c$

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

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1. A
   $2\sqrt{3}$ m, $3\sqrt{3}$ m
2. B
   $3\sqrt{3}$ m, $2\sqrt{3}$ m
3. C
   3 m, 6 m
4. D
   6 m, 3 m

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1. A
   $\frac{-\sqrt{5}+1}{8}$
2. B
   $\frac{\sqrt{5}-1}{8}$
3. C
   $\frac{\sqrt{5}+1}{8}$
4. D
   $\frac{-\sqrt{5}-1}{8}$

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1. A
   $\frac{8\hat{i}-3\hat{j}+3\hat{k}}{\sqrt{82}}$
2. B
   $\frac{-8\hat{i}-3\hat{j}+3\hat{k}}{\sqrt{82}}$
3. C
   $\frac{-8\hat{i}+3\hat{j}+3\hat{k}}{\sqrt{82}}$
4. D
   $\frac{-8\hat{i}+3\hat{j}+3\hat{k}}{\sqrt{82}}$

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1. A
   0
2. B
   -2
3. C
   2
4. D
   5

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1. A
   0
2. B
   1
3. C
   $-\frac{1}{2}$
4. D
   $\frac{1}{2}$

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1. A
   $2\log\frac{x+2}{x^2+1}+4\tan^{-1}x+c$
2. B
   $\log\frac{x+2}{x^2+1}+4\tan^{-1}x+c$
3. C
   $\log\frac{(x+2)^2}{x^2+1}+4\tan^{-1}x+c$
4. D
   $\log\frac{(x+2)}{(x^2+1)^2}+4\tan^{-1}x+c$

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

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1. A
   0
2. B
   $\frac{\pi}{2}$
3. C
   $\frac{\pi}{4}$
4. D
   $\frac{\pi}{6}$

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