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KVPY2017PhysicsKinetic Theory of Gases

A long cylindrical pipe of radius 20 ~cm is closed at its upper end and has an airtight piston of negligible mass as shown. When a 50 Kg mass is attached to the other end of the pistion, it moves down by a distance / before coming to equilibrium. Assuming air to be an ideal gas, / L (see figure) is close to ( g =10 ~ms ² . , atmospheric pressure is 10⁵ Pascal),

Options

  1. A0.01
  2. B0.02
  3. C0.04
  4. D0.09

Correct answer

C. 0.04

Step-by-step solution

Process is isothermal array l P ₁ ~V ₁= P ₂ ~V ₂ ( P ₀ )( A )( ) PA ( + ) P _ final P ₀ ~A A ( + ) P ₀ + array By force equilibrium array l (P₀-P ) A m g (P₀- P₀ + ) A=m g 0.04 array

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