1. A
   9
2. B
   15
3. C
   13
4. D
   11

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1. A
   $\frac{10\text{~na~}}{(n - 1)}$
2. B
   $\frac{10a}{(n - 1)}$
3. C
   $\left( \frac{n - 1}{10n} \right)$ a
4. D
   $\frac{10a}{n}$

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1. A
   $C' = \frac{3 + K}{4\text{ }K}C_{0}$
2. B
   $C' = \frac{4 + K}{3}C_{0}$
3. C
   $C' = \frac{4\text{ }K}{\text{ }K + 3}C_{0}$
4. D
   $C' = \frac{4}{3 + K}C_{0}$

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1. A
   $- \frac{F}{m}\cos\theta - \mu_{K}\left( g - \frac{F}{m}\sin\theta \right)$
2. B
   $\frac{F}{m}\cos\theta - \mu_{K}\left( g - \frac{F}{m}\sin\theta \right)$
3. C
   $\frac{F}{m}\cos\theta - \mu_{K}\left( g + \frac{F}{m}\sin\theta \right)$
4. D
   $\frac{F}{m}\cos\theta + \mu_{K}\left( g - \frac{F}{m}\sin\theta \right)$

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1. A
   $\frac{200}{3}\%$
2. B
   $\frac{200}{5}\%$
3. C
   $\frac{5}{200}\%$
4. D
   $\frac{3}{200}\%$

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1. A
   Statements (A), (B) and (C) are true
2. B
   Only statement (D) is true
3. C
   Only statements (A) and (B) are true
4. D
   Statements (B) and (C) are true

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1. A
   $- 24\widehat{x}V/m$
2. B
   $2.6\widehat{x\text{ }V/m}$
3. C
   $24\widehat{x}\text{ }V/m$
4. D
   $- 2.6\widehat{y}\text{ }V/m$

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1. A
   $1.5 \times 10^{3}\text{ }m/s$
2. B
   $6.0 \times 10^{3}\text{ }m/s$
3. C
   $3.0 \times 10^{3}\text{ }m/s$
4. D
   $4.5 \times 10^{3}\text{ }m/s$

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1. A
   $2.880 \times 10^{3}\text{ }J{\text{ }T}^{- 1}$
2. B
   $2.880 \times 10^{2}\text{ }J{\text{ }T}^{- 1}$
3. C
   $2.880\text{ }J{\text{ }T}^{- 1}$
4. D
   $28.80\text{ }J{\text{ }T}^{- 1}$

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1. A
   $\frac{88RT}{V}$
2. B
   $\frac{3RT}{V}$
3. C
   $\frac{5}{2}\frac{RT}{V}$
4. D
   $\frac{4RT}{V}$

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1. A
   Path functions
2. B
   Intensive thermodynamic state variables
3. C
   Extensive thermodynamic state variables
4. D
   Point functions

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1. A
   $ml^{2}$
2. B
   $2\text{ }ml^{2}$
3. C
   $3\text{ }ml^{2}$
4. D
   $\sqrt{3}\text{ }ml^{2}$

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

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

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

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1. A
   300
2. B
   400
3. C
   200
4. D
   100

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1. A
   $U_{e} = U_{m}$
2. B
   $U_{e} > U_{m}$
3. C
   $U_{e} < U_{m}$
4. D
   $U_{e} \neq U_{m}$

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

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1. A
   Phase
2. B
   Intensity
3. C
   Amplitude
4. D
   Frequency

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1. A
   $0.0314\text{ }N$
2. B
   $9.859 \times 10^{- 2}\text{ }N$
3. C
   $6.28 \times 10^{- 3}\text{ }N$
4. D
   $9.859 \times 10^{- 4}\text{ }N$

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1. A
   Both $I_{1}$ and $I_{2}$ are in anticlockwise direction
2. B
   Both $I_{1}$ and $I_{2}$ are in clockwise direction
3. C
   $I_{1}$ is in clockwise direction and $I_{2}$ is in anticlockwise direction
4. D
   $I_{1}$ is in anticlockwise direction and $I_{2}$ is in clockwise direction

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1. A
   A is false but $R$ is true
2. B
   Both A and R are true but R is not the correct explanation of $A$
3. C
   Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
4. D
   $A$ is true but $R$ is false

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1. A
   Thiamine and Vitamin A
2. B
   Vitamin A and Vitamin D
3. C
   Thiamine and Ascorbic acid
4. D
   Ascorbic acid and Vitamin D

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1. A
   Statement I is false but statement II is true
2. B
   Both statement I and statement II are false
3. C
   Both statement I and statement II are true
4. D
   Statement I is true but statement II is false

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

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