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 simple harmonically. Pressure inside the gas in equilibrium is P. Consider the piston to be diathermic so that process is isothermal the period of oscillation will be:

A cylinder piston of mass M sides smoothly inside a long cylinder closed at and enclosing a certain mass of gas The cylinder is kept with its axis horizontal if the piston is distanced from its equations positions it oscillation simple harmonically .The period of oscillation will be

A cylinder piston of mass M sides smoothlly inside a long cylinder closed at and enclesing a cartin mass of gas The cylinder is kept with its axis horizantal if the pistan is distanced from its equations positions it oscillation simple harmoniically .THe period of oscillation will be

A piston of mass m can move without friction in a uniform closed cylinder at one end. A gas is enclosed in it. For this situation mark the correct statement(s)

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.

For the arrangement shown, a cylinder of mass m with cross-sectional area A , initially in equilibrium poisition, is displaced slightly inside the liquid of density p . Prove that the motion is simple harmonic and also find its time-period.

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and the cylinder have equal cross - section area A. When the piston is in equilibrium, the volume of the gas is (V_0) and the its pressure is (P_0). The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, Show that the piston executes simple harmonic motion and find the frequency of oscillations.

An ideal gas enclosed in a cylindrical container supports a freely moving piston of mass M . The piston and the cylinder have equal cross-sectional area A . When the piston is in equilibrium, the volume of the gas is V_(0) and its pressure is P_(0) . The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency