1.

An ideal gas is enclosed in a vertical cylindrical container and supports a freely moving piston of mass M. The piston and the cylinder have an equal cross-sectional area A. Atmospheric pressure is p_(0) and when the piston is in equilibrium, the volume of the gas is V_(0). The piston is now displaced slightly from its equilibrium position. Assuming that the system, is completely isolated from, its surroundings, what is the frequency of oscillation.

Answer»

`f=(1)/(2pi)sqrt((GAMMA(p_(0)A^(2)+MGA))/(V_(0)M))`
`f=(1)/(2pi)sqrt((1)/(gamma)((p_(0)A^(2)+MgA))/(V_(0)M))`
`f=(1)/(2pi)sqrt(((p_(0)A^(2)+MgA))/(V_(0)M))`
`f=(1)/(2pi)sqrt((A(p_(0)A^(2)+MgA))/(V_(0)M))`

Answer :A


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