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A fixed thermally conducting cylinder ha...

A fixed thermally conducting cylinder has a radius R and height `L_0`. The cylinder is open at the 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`.

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

A

`p_0`

B

`(p_0)/(2)`

C

`(p_0)/(2)+(Mg)/(piR^2)`

D

`p_0/2-(Mg)/(piR^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Since it is open from top, pressure will be `p_(0)`
Therefore, option `(a)` is correct.
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Knowledge Check

  • The piston I s now pulled out slowly and held at a diatance 2L from the top. The pressure in the cylinder between its top and the piston will then be

    A
    `P_(0)`
    B
    `P_(0//2)`
    C
    `(P_0)/(2)+(Mg)/phiR^(2)`
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