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Motion question

2007 · Shift 1 · Q60
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Motion question

2007 · Shift 1 · Q60

JEE AdvancedPhysicsMotionMCQ+3 / −1
A fixed thermally conducting cylinder has a radius RRR and height L0L_0L0​. The cylinder is open at its bottom and has a small hole at its top. A piston of mass MMM is held at a distance LLL from the top surface, as shown in the figure. The atmospheric pressure is P0P_0P0​. IIT-JEE 2007 Paper 1 Offline Physics - Motion Question 3 English ComprehensionWhile 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 :
  1. A
    (2P0πR2πR2P0+Mg)(2L)\left( {{{2{P_0}\pi {R^2}} \over {\pi {R^2}{P_0} + Mg}}} \right)(2L)(πR2P0​+Mg2P0​πR2​)(2L)
  2. B
    (P0πR2−MgπR2P0)(2L)\left( {{{{P_0}\pi {R^2} - Mg} \over {\pi {R^2}{P_0}}}} \right)(2L)(πR2P0​P0​πR2−Mg​)(2L)
  3. C
    (P0πR2+MgπR2P0)(2L)\left( {{{{P_0}\pi {R^2} + Mg} \over {\pi {R^2}{P_0}}}} \right)(2L)(πR2P0​P0​πR2+Mg​)(2L)
  4. D
    (P0πR2πR2P0−Mg)(2L)\left( {{{{P_0}\pi {R^2}} \over {\pi {R^2}{P_0} - Mg}}} \right)(2L)(πR2P0​−MgP0​πR2​)(2L)
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