The piston is now pulled out slowly and held at a distance 2L from the top. The pressure in the cylinder between its top and the piston will then be [2007]

Question

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 $P_{0}$ .

Q. The piston is now pulled out slowly and held at a distance 2L from the top. The pressure in the cylinder between its top and the piston will then be [2007]

Smart Achievers · Accepted Answer

(1)

As the cylinder is open at its bottom and has a small hole at its top, hence the pressure inside the cylinder is atmospheric pressure, $P_{0}$ throughout the slow pulling process.

Solution

1 $P_{0}$

2 $\frac{P_{0}}{2}$

3 $\frac{P_{0}}{2} + \frac{M g}{π R^{2}}$

4 $\frac{P_{0}}{2} - \frac{M g}{π R^{2}}$

Ans.
(1)

As the cylinder is open at its bottom and has a small hole at its top, hence the pressure inside the cylinder is atmospheric pressure, $P_{0}$ throughout the slow pulling process.

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Solution

1 P0

2 P02

3 P02+MgπR2

4 P02-MgπR2