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JIPMER2017PhysicsKinetic Theory of Gases

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially, the pressure of the gas is p₀ and temperature is T₀ , atmospheric pressure is also p₀ . Now, the temperature of the gas is increased to 2 T₀ , the tension of wire will be

Options

  1. A2 p₀ A
  2. Bp₀ A
  3. Cp₀ A 2
  4. D4 p₀ A

Correct answer

B. p₀ A

Step-by-step solution

Volume of the gas is constant i.e. V = constant p T i.e. pressure will be doubled if temperature is doubled. Let F be the tension in the wire. Then, equilibrium of any one pipes gives. F= (p-p₀ ) A= (2 p₀-p₀ ) A=p₀ A

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