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Questions  

 A cylindrical piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of gas. The cylinder is kept with its axis horizontal. If the piston is disturbed from its equilibrium position, it oscillates simple
harmonically. The period of oscillation will be 

a
T=2πMhPA
b
T=2πMAPh
c
T=2πMPAh
d
T=2π(MPhA)

detailed solution

Correct option is A

VΔP+PΔV=0  or  ΔP=P(ΔV/V) or FA=−PAxAh=−Pxh F=−PAxh a=−PAxh1M=−PAMhx thise gives ω2=PAMh  or  T=2πω=2πMhPA

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