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A non - conducting piston of mass m and ...

A non - conducting piston of mass m and are `S_(0)` divides a non - conducting, closed cylinder as shown in the figure. A piston having mass m is connected with the top wall of the cylinder by a spring of force constant k. The top part is evacuated and the bottom part is evacuated and the bottom part contains an ideal gas at a pressure `P_(0)` in the equilibrium position. Adiabatic exponent `gamma` and in equilibrium length of each part is l. (neglect friction). Find the angular frequency for small oscillation.

A

`(sqrt(kl+gammaP_(0)S_(0)))/(2ml)`

B

`(sqrt(3kl+gammaP_(0)S_(0)))/(ml)`

C

`sqrt((k)/(m))`

D

`(sqrt(kl +gammaP_(0)S_(0)))/(ml)`

Text Solution

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The correct Answer is:
D
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