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