At a given temperature,if $V_{rms}$ is the root mean square velocity of the molecules of a gas and $V_s$ is the velocity of sound in it,then these are related as $\left( \gamma = \frac{C_P}{C_v} \right)$:

  • A
    $V_{rms} = V_s$
  • B
    $V_{rms} = \sqrt{\frac{3}{\gamma}} \times V_s$
  • C
    $V_{rms} = \sqrt{\frac{\gamma}{3}} \times V_s$
  • D
    $V_{rms} = \left( \frac{3}{\gamma} \right) \times V_s$

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