A fixed thermally conducting cylinder has a radius R and height `L_0.` The cylinder is open at its bottom and has a small home at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is `P_0.`

While the piston is at a distance 2L from the tuiop, the hole at the top is sealed. The piston is then released, to a position where it can stay in equilibrium. In this condition, the distance of the piston from the top is