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. 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. 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 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 .

A piston can freely move inside a horizontal cylinder closed from both ends. Initially, the piston separates the inside space of the cylinder into two equal parts each of volume V_0 in which an ideal gas is contained under the same pressure p_0 and at the same temperature. What work has to be performed in order to increase isothermally the volume of one part of gas eta times compared to that of the other by slowly moving the piston ?

A piston can freely move inside a horizontal cylinder closed from both ends. Initially, the piston separates the inside space of the cylinder into two equal parts each of volmek V_0 in which an ideal gas is contained under the same pressure p_0 and at the same temperature. What work has to be performed in order to increase isothermally the volume of one part of gas eta times compared to that of the other by slowly moving the piston ?