A fixed thermally conducting cylinder has a radius \( \mathrm{R} \) and height \( \mathrm{L}_{0}....

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A fixed thermally conducting cylinder has a radius \( \mathrm{R} \) and height \( \mathrm{L}_{0} \). 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 \( \mathrm{L} \) from the top surface, as shown in the figure. The atmospheric pressure is \( \mathrm{P}_{0} \).
The piston is now pulled out slowly and held at a distance \( 2 \mathrm{~L} \) from the top. The pressure in the cylinder between its top and the piston will then be
(1) \( P_{0} \)
(2) \( \frac{P_{2}}{2} \)
(3) \( \frac{P_{0}}{2}+\frac{M g}{\pi R^{2}} \)
(4) \( \frac{P_{0}}{2}-\frac{M g}{\pi R^{2}} \)
\( \mathrm{P} \)
W
Piston


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