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Physics Thermodynamics Mix MCQ (Single Correct)

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 P 0 and temperature is T 0 , atmospheric pressure is also P 0 . Now the temperature of the gas is increased to 2T 0 , the tension in the wire will be

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The correct answer is:
B

Volume of the gas is constant V = constant ∴ ∴

i.e., pressure will be doubled if temperature is doubled

∴ ∴

Now let F be the tension in the wire. Then equilibrium of any one piston gives

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