A fixed thermally conducting cylinder has a radius R and height `L_0`. The cylinder is open at its bottom and has a small hole 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 top, 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

Options

A. `((2 P_0 pi R^2) / (pi R^2 P_0 + Mg)) (2 L)`
B. `((P_0 pi R^2 -Mg ) / (pi R^2 P_0 )) (2 L)`
C. `((P_0 pi R^2 +Mg ) / (pi R^2 P_0 )) (2 L)`
D. `((P_0 pi R^2 +Mg ) / (pi R^2 P_0 )) (2 L)`