Question

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 2$T_0$, the tension in the wire will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Volume of the gas is constant V = constant \ $P\propto T$

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

$P=2P_0$

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

$F=(P-P_0)A=(2P_0-P_0)A=P_{0}A$