Consider a gas with molar mass $M$. If sound at frequency $f$ is introduced to a tube of this gas at temperature $T$, an internal acoustic standing wave is set up with nodes separated by $L$. The adiabatic constant $\gamma = \frac{C_p}{C_v}$ is

  • A
    $\frac{M f^2 L^2}{R T}$
  • B
    $\frac{M f^2 L^2}{4 R T}$
  • C
    $\frac{4 M f^2 L^2}{R T}$
  • D
    $\frac{3 M f^2 L^2}{2 R T}$

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