Two cylinders $A$ and $B$ fitted with pistons contain equal amounts of an ideal diatomic gas at temperature $T \ K$. The piston of cylinder $A$ is free to move,while that of cylinder $B$ is held fixed. The same amount of heat $dQ$ is given to the gas in each cylinder. If the rise in temperature of the gas in $A$ is $dT_{A}$,then the rise in temperature of the gas in $B$ is (where $\gamma = \frac{C_{p}}{C_{v}}$):

  • A
    $\frac{dT_{A}}{2}$
  • B
    $\frac{dT_{A}}{\gamma}$
  • C
    $\gamma dT_{A}$
  • D
    $2 dT_{A}$

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