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Q.

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 simpleharmonically. The period of oscillation will be

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a

T=2πMhPA

b

T=2πMAPh

c

T=2πMPAh

d

T=2π(MPhA)

answer is A.

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Detailed Solution

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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