A fixed thermally conducting cylinder has a radius `R` and height `L_(0)`. The cylinder is open at its bottom and has a smaller 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.
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
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