1.

A non - conducting piston of mass m and are S_(0) divides a non - conducting, closed cylinder as shown in the figure. A piston having mass m is connected with the top wall of the cylinder by a spring of force constant k. The top part is evacuated and the bottompart is evacuated and the bottom part contains an ideal gas at a pressure P_(0) in the equilibrium position.Adiabatic exponent gamma and in equilibrium length of each part is l. (neglect friction). Find the angular frequency for small oscillation.

Answer»

`(sqrt(KL+gammaP_(0)S_(0)))/(2ml)`
`(sqrt(3kl+gammaP_(0)S_(0)))/(ML)`
`sqrt((k)/(m))`
`(sqrt(kl +gammaP_(0)S_(0)))/(ml)`

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