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A closed and isolated cylinder contains ideal gas. An adiabatic separator of mass m, cross sectional area `A` divides the cylinder into two equal parts each with volume `V_(0)` and pressure `P_(0)` in equilibrium Assume the sepatator to move without friction.
Identify the correct statement

A

The process is adiabatic only when the piston is displaced suddenly

B

The process is isothermal when the piston is moved slowly

C

The motion is periodic for any displacement of the piston

D

The motion is `SHM` for any displacement of the piston

Text Solution

Verified by Experts

The correct Answer is:
A,B,D
`DeltaQ=0` for system `P_(0)V_(0)^(gamma)=P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma)`
`impliesP_(1)=P_(0)[1-(gammaAx)/(V_(0))]impliesP_(2)=P_(0)[1+(gammaAx)/(V_(0))]`
` implies F = (2P_(0)gammaA^(2)x)/(V_(0)`
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