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An ideal gas enclosed in a vertical cyli...

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. the piston and the cylinder have equal cross sectional area A. when the piston is in equilibrium, the volume of the gas is `V_(0)` and its pressure is `P_(0)`. the piston is slightly displaced from the equilibrium posittion and released. assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency

A

`f=(1)/(2pi)sqrt((gamma(p_(0)A^(2)+MgA))/(V_(0)M))`

B

`f=(1)/(2pi)sqrt((1)/(gamma)((p_(0)A^(2)+MgA))/(V_(0)M))`

C

`f=(1)/(2pi)sqrt(((p_(0)A^(2)+MgA))/(V_(0)M))`

D

`f=(1)/(2pi)sqrt((A(p_(0)A^(2)+MgA))/(V_(0)M))`

Text Solution

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The correct Answer is:
A
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