1.

A fixed thermally conducting cylinder has radius R and length 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

Answer»

`((2P_(0) pi R^(2))/(pi R^(2) P_(0) + MG)) (2L`
`((p_(0) pi R^(2) - Mg)/(pi R^(2) P_(0))) (2L)`
`((p_(0) pi R^(2) + Mg)/(pi R^(2) P_(0))) (2L)`
`((P_(0) pi r^(2))/(pi R^(2) P_(0) -Mg)) (2L)`

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