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 statementA. The process is adiabatic only when the piston is displaced suddenlyB. The process is isothermal when the piston is moved slowlyC. The motion is periodic for any displacement of the pistonD. The motion is `SHM` for any displacement of the piston

A closed and isolated cylinder contains ideal gas. An adiabatic separa

1.	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 statementA. The process is adiabatic only when the piston is displaced suddenlyB. The process is isothermal when the piston is moved slowlyC. The motion is periodic for any displacement of the pistonD. The motion is `SHM` for any displacement of the piston
Answer» Correct Answer - A,B,D `DeltaQ=0` for system `P_(0)V_(0)^(gamma)=P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma)` `impliesP_(1)=P_(0)[1-(gammaAx)/(V_(0))]impliesP_(2)=P_(0)[1+(gammaAx)/(V_(0))]` ` implies F = (2P_(0)gammaA^(2)x)/(V_(0)`

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