Two containers $A$ and $B$ contain equal volumes of an identical gas at the same pressure and temperature. The gas in container $A$ is compressed to half its original volume isothermally,while the gas in container $B$ is compressed to half its original volume adiabatically. The ratio of the final pressure of gas in container $B$ to that of gas in container $A$ is

  • A
    $(2)^{\gamma-1}$
  • B
    $\left(\frac{1}{2}\right)^{\gamma-1}$
  • C
    $\left(\frac{1}{1-\gamma}\right)^2$
  • D
    $\left(\frac{1}{\gamma-1}\right)^2$

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