Period of a pendulum in an accelerating lift or with a moving support

1. A.
   decreases
2. B.
   increases
3. C.
   remains same
4. D.
   sometimes increases and sometimes decreases

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1. A.
   $\frac{\sqrt{5}}{2}\,T$
2. B.
   $\frac{\sqrt{3}}{2}\,T$
3. C.
   $\frac{2T}{\sqrt{3}}$
4. D.
   $\frac{2T}{\sqrt{5}}$

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

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1. A.
   1.5 s
2. B.
   2 s
3. C.
   $\ \sqrt{3}\text{ }s$
4. D.
   3 s

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1. A.
   $2/3$
2. B.
   $5/6$
3. C.
   $6/5$
4. D.
   $3/2$

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

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1. A.
   $T_1 = \dfrac{2T_2T_3}{\sqrt{T_2^2 + T_3^2}}$
2. B.
   $T_1 = \dfrac{\sqrt{2}T_2T_3}{\sqrt{T_2^2 + T_3^2}}$
3. C.
   $T_1 = \dfrac{2T_2^2T_3^2}{\sqrt{T_2 + T_3}}$
4. D.
   $T_1 = \dfrac{\sqrt{2}T_2^2T_3^2}{\sqrt{T_2 + T_3}}$

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

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