Physics

Problem

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 position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency a.

\frac{1}{2\pi} \sqrt{\frac{A\gamma P_0}{V_0 M}}

\frac{1}{2\pi} \sqrt{\frac{V_0 M P_0}{A^2 \gamma}}

\frac{1}{2\pi} \sqrt{\frac{A^2 \gamma P_0}{M V_0}}

\frac{1}{2\pi} \sqrt{\frac{M V_0}{A \gamma P_0}}

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