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:

1. A
   \frac{1}{2\pi} \sqrt{\frac{V_0 MP_0}{A^2\gamma}}
2. B
   \frac{1}{2\pi} \sqrt{\frac{A^2 \gamma P_0}{MV_0}}
3. C
   \frac{1}{2\pi} \sqrt{\frac{MV_0}{A^2 \gamma P_0}}
4. D
   \frac{1}{2\pi} \sqrt{\frac{A\gamma P_0}{V_0 M}}