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An adiabatic piston of mass m equally di...

An adiabatic piston of mass `m` equally divides an insulated container of total volume `v_(0)` and length `l`. A light spring connect the piston to right wall. The container has helium gas. The pressure on both side of piston is `P_(0)`. The container starts moving with acceleration `'a'` towards right, find the stretch of the spring when acceleration of the piston equals acceleration of container. (Assume displacement of the piston `lt lt l`)

Text Solution

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The correct Answer is:
`(ma)/([k+(gammaP_0V_0)/(2^(gamma-1)l^2)])`
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