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Simple Harmonic Motion question

2013 · Shift 0 · Q67

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JEE Main
Physics
Simple Harmonic Motion
2013 · Shift 0 · Q67

Simple Harmonic Motion question

2013 · Shift 0 · Q67

JEE MainPhysicsSimple Harmonic MotionMCQ+4 / −1

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 frquency

A
${1 \over {2\pi }}\,{{A\gamma {P_0}} \over {{V_0}M}}$
B
${1 \over {2\pi }}\,{{{V_0}M{P_0}} \over {{A^2}\gamma }}$
C
${1 \over {2\pi }}\,\sqrt {{{A\gamma {P_0}} \over {{V_0}M}}}$
D
${1 \over {2\pi }}\,\sqrt {{{M{V_0}} \over {A\gamma {P_0}}}}$

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