Heat and Thermodynamics 6 Question 15

19. 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

(2007,4 M)

(a) (2p0πR2πR2p0+Mg)(2L)

(b) (p0πR2MgπR2p0) (2L)

(c) (p0πR2+MgπR2p0)(2L)

(d) (p0πR2πR2p0Mg)(2L)

Show Answer

Answer:

Correct Answer: 19. (d)

Solution:

  1. Let p be the pressure in equilibrium.

Then, pA=p0AMg

p=p0MgA=p0MgπR2

Applying, p1V1=p2V2

p0(2AL)=(p)(AL)

L=2p0Lp=(p0p0MgπR2)(2L)

=(p0πR2πR2p0Mg)(2L)

Correct option is (d).



NCERT Chapter Video Solution

Dual Pane