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1. A
   sp
2. B
   dsp²
3. C
   sp²
4. D
   sp³

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1. A
   Energy of the system remains constant.
2. B
   Energy of the surrounding remains constant.
3. C
   Entropy of the universe remains constant.
4. D
   Energy of the universe remains constant.

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1. A
   It is formed by addition polymerization.
2. B
   It is a linear polymer.
3. C
   It has cis configuration of C=C.
4. D
   It contains butadiene and styrene as monomer units.

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1. A
   Nd
2. B
   Sm
3. C
   Ho
4. D
   Lu

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1. A
   Citric acid
2. B
   Oxalic acid
3. C
   Malonic acid
4. D
   Glutaric acid

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1. A
   $4.102\times10^{-23}\text{ cm}^3$
2. B
   $5.430\times10^{-23}\text{ cm}^3$
3. C
   $5.014\times10^{-23}\text{ cm}^3$
4. D
   $4.618\times10^{-23}\text{ cm}^3$

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1. A
   2-methoxy propane
2. B
   n-butane
3. C
   2-methylbutane
4. D
   n-pentane

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1. A
   CH₃F
2. B
   CH₃Cl
3. C
   CH₃Br
4. D
   CH₃I

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1. A
   $0.767\text{ cm}^{-1}$
2. B
   $0.906\text{ cm}^{-1}$
3. C
   $1.304\text{ cm}^{-1}$
4. D
   $1.104\text{ cm}^{-1}$

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1. A
   $M_2 = \frac{1000\times\Delta T_b\times W_2}{K_b\times W_1}$
2. B
   $M_2 = \frac{1000\times K_b\times W_1}{\Delta T_b\times W_2}$
3. C
   $M_2 = \frac{1000\times\Delta T_b\times W_1}{K_b\times W_2}$
4. D
   $M_2 = \frac{1000\times K_b\times W_2}{\Delta T_b\times W_1}$

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1. A
   KCl
2. B
   HClO
3. C
   HClO₂
4. D
   HClO₄

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1. A
   $41.6\text{ kJ mol}^{-1}$
2. B
   $-416\text{ kJ mol}^{-1}$
3. C
   $832.5\text{ kJ mol}^{-1}$
4. D
   $-832.5\text{ kJ mol}^{-1}$

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1. A
   Morphology of nanomaterial
2. B
   Absorption of functional group
3. C
   Geometry of particles
4. D
   Particle size

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1. A
   Ce
2. B
   La
3. C
   Gd
4. D
   Eu

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1. A
   $5x+5y-7=0$
2. B
   $5x-5y-7=0$
3. C
   $2x+y-7=0$
4. D
   $x-y+7=0$

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

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1. A
   $\mathbf{b}+\frac{\mathbf{b}\cdot\mathbf{c}}{\mathbf{a}\cdot\mathbf{b}}\mathbf{c}$
2. B
   $\mathbf{c}-\frac{\mathbf{a}\cdot\mathbf{c}}{\mathbf{a}\cdot\mathbf{b}}\mathbf{b}$
3. C
   $\mathbf{b}-\frac{\mathbf{b}\cdot\mathbf{c}}{\mathbf{a}\cdot\mathbf{b}}\mathbf{c}$
4. D
   $\mathbf{c}+\frac{\mathbf{a}\cdot\mathbf{c}}{\mathbf{a}\cdot\mathbf{b}}\mathbf{b}$

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1. A
   $e^{6}$
2. B
   $e^{2}$
3. C
   $e^{-6}$
4. D
   $e^{-2}$

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1. A
   $R-\{1,2\}$
2. B
   $(-2,\infty)$
3. C
   $R-\{-1,-2,-3\}$
4. D
   $(-3,\infty)-\{-1,-2\}$

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1. A
   $x^{2}-3xy+y^{2}=0$
2. B
   $x^{2}+4xy-y^{2}=0$
3. C
   $x^{2}-3xy-y^{2}=0$
4. D
   $x^{2}+3xy-y^{2}=0$

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1. A
   $(0,2\pi)$
2. B
   $(-\pi,0)$
3. C
   $\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$
4. D
   $(0,\pi)$

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

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1. A
   17
2. B
   121
3. C
   1
4. D
   137

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1. A
   2
2. B
   3
3. C
   4
4. D
   7

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1. A
   $\frac{9}{2}\text{ sq. units}$
2. B
   $\frac{11}{2}\text{ sq. units}$
3. C
   $\frac{15}{2}\text{ sq. units}$
4. D
   $\frac{21}{2}\text{ sq. units}$

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