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JIPMER 2017
Exam
JIPMER
Year
2017
Subject
Physics
Chapter
Kinetic Theory of Gases

JIPMER 2017 · Physics · Kinetic Theory of Gases

A cylindrical tube of uniform cross-sectional area A is fitted with...

A cylindrical tube of uniform cross-sectional area AA 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 p0p_0 and temperature is T0T_0, atmospheric pressure is also p0p_0. Now, the temperature of the gas is increased to 2T02 T_0, the tension of wire will be A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are

Options

  1. A2p0A2 p_0 A
  2. Bp0Ap_0 A
  3. Cp0A2\frac{p_0 A}{2}
  4. D4p0A4 p_0 A

Correct answer

B. p0Ap_0 A

Step-by-step solution

Volume of the gas is constant i.e. VV = constant ∴p∝T\therefore p \propto T i.e. pressure will be doubled if temperature is doubled. A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are Let FF be the tension in the wire. Then, equilibrium of any one pipes gives. F=(p−p0)A=(2p0−p0)A=p0AF=\left(p-p_0\right) A=\left(2 p_0-p_0\right) A=p_0 A
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