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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 -

1. 0 0 2 MV P A 2 1 γ π
2. 0 0 P A MV 2 1 γ π
3. M V P A 2 1 0 0 γ π
4. γ π 2 0 0 A MP V 2 1

Correct answer: 0 0 2 MV P A 2 1 γ π

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