An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and 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:

Question

( A ) $\frac{1}{2 \pi} \sqrt{\frac{MV_0}{A \gamma P_0}}$
( B ) $\frac{1}{2 \pi} \frac{A \gamma P_0}{MV_0}$
( C ) $\frac{1}{2 \pi} \frac{V_0MP_0}{A \gamma }$
( D ) $\frac{1}{2 \pi} \sqrt{\frac{A^2 \gamma P_0}{MV_0}}$