JEE Advanced Model Paper 15 with solutions for online practice

A diathemic piston of mass M, cross section area A separate the volume inside a horizontal adiabatic cylinder of length 2I0 in two equal parts. Each chamber contains an ideal gas and pressure on each side is P. The piston can move without friction and is attached with a spring of spring constant K as shown. Initially the spring is non-deformed. The piston is given a small displacement x towards left. Then