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1. A
   a
2. B
   b
3. C
   c
4. D
   d

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1. A
   a
2. B
   b
3. C
   c
4. D
   d

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1. A
   0.5 m
2. B
   0.166 m
3. C
   0.33 m
4. D
   1 m

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1. A
   256 Hz
2. B
   512 Hz
3. C
   754 Hz
4. D
   768 Hz

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1. A
   -285.8 kJ/mol
2. B
   -241.8 kJ/mol
3. C
   0 kJ/mol
4. D
   +285.8 kJ/mol

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1. A
   cos(2x)
2. B
   2 cos(2x)
3. C
   -cos(2x)
4. D
   -2 cos(2x)

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1. A
   sin(3x)
2. B
   -sin(3x)
3. C
   3 sin(3x)
4. D
   -3 sin(3x)

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1. A
   $15\text{ }m,37^{\circ}$ North to East
2. B
   $15\text{ }m,37^{\circ}$ East to North
3. C
   $15\text{ }m,37^{\circ}$ North to West
4. D
   None of these

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1. A
   $\frac{1}{3}\text{ }mm/s$
2. B
   $3\text{ }mm/s$
3. C
   $\frac{1}{3}\text{ }cm/s$
4. D
   $3\text{ }cm/s$

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1. A
   $100\text{ }N$
2. B
   $150\text{ }N$
3. C
   $120\text{ }N$
4. D
   $140\text{ }N$

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1. A
   $0.5sec$
2. B
   $1sec$
3. C
   $\sqrt{2}\sec$
4. D
   $\sqrt{3}\sec$

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1. A
   $200\pi J$
2. B
   $- 200\pi J$
3. C
   $100\pi J$
4. D
   $- 100\pi J$

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1. A
   $\sqrt{A^{2} + B^{2} + 2A \cdot B}$
2. B
   $\sqrt{A^{2} + B^{2} + \sqrt{2}AB}$
3. C
   $\sqrt{A^{2} + B^{2} - \sqrt{2}AB}$
4. D
   $\sqrt{A^{2} + B^{2}}$

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

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1. A
   $\frac{V}{3}$
2. B
   $\frac{V}{4}$
3. C
   $\frac{V}{9}$
4. D
   $\frac{V}{12}$

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1. A
   $0.91eV$
2. B
   $0.81eV$
3. C
   $0.01eV$
4. D
   $0.5eV$

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1. A
   $\left\lbrack M^{0}L^{0}T^{0} \right\rbrack,\left\lbrack M^{1}L^{2}T^{- 2}K^{- 1} \right\rbrack$
2. B
   $\left\lbrack M^{1}L^{2}T^{- 2} \right\rbrack,\left\lbrack M^{1}L^{2}T^{- 2}K^{- 1} \right\rbrack$
3. C
   $\left\lbrack M^{1}L^{2}T^{- 2}K^{- 1} \right\rbrack,\left\lbrack M^{0}L^{0}T^{0} \right\rbrack$
4. D
   None of these

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

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1. A
   $25\text{ }mA$
2. B
   $50\text{ }mA$
3. C
   $100\text{ }mA$
4. D
   zero

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