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Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases

As shown in the figure, a cylindrical tube of cross-sectional area A is fitted with two frictionless pistons. A metallic wire connects the pistons to each other. Initially, the gas temperature is T₀ and its pressure is p₀ , which is equal to the atmospheric pressure. Determine the tension in the wire.

Options

  1. A0
  2. B2p₀ A
  3. Cp₀ A
  4. Dp₀ A 2

Correct answer

A. 0

Step-by-step solution

Let T be the tension in the metallic wire connecting the two pistons. Consider the equilibrium of one of the pistons, for instance, the left piston. The forces acting on it along the horizontal direction are: 1. The force due to the gas pressure from inside the tube, acting outwards (to the left), which is equal to p₀ A . 2. The force due to the atmospheric pressure from outside, acting inwards (to the right), which is also equal to p₀ A . 3. The tension T in the wire, pulling the piston inwards (to the right). Sin

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