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.
If the piston is slightly displaced by x, the net force acting on the piston is

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 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. The time period of oscillation for small displacements of the piston is

In a cylinder filled up with ideal gas end gas and closed from both ends there is a piston of mass m and cross - sectional area S (figure).In equilibrium the piston divides the cylinder into two equal parts, each with volime V_(0) . The gas ppressure is p_(0) . The piston was slightly displaced from the equlibrium position and released.Find the oscillation frequency, assuming the prosecces in the gas to be adiabatic and the friction negligible.

A piston of cross-section area A is fitted in a cylinder in which gas of volume V at pressure p is enclosed. It the gas obeys Boyle's law, then what is the angular frequency, if piston is displaced slightly ?

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 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 posittion and released. assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency

A heat-conducting piston can freely move inside a closed thermally insulated cylinder with an ideal gas. In equilibrium the piston divides the cylinder into two equal parts, the gas temperature being equal to T_0 . The piston is slowly displaced. Find the gas temperature as a function of the ratio eta of the volumes of the greater and smaller sections. The adiabatic exponent of the gas is equal to gamma .