If the velocity of sound in air is $V_{s}$ and root mean square velocity is $V_{r m s}$ , then

V_{r m s} = V_{s}

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V_{r m s} < V_{s}

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V_{r m s} = \frac{V_{s}}{2}

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V_{s} = V_{r m s} \sqrt{\frac{γ}{3}}

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Solution

The correct option is C $V_{s} = V_{r m s} \sqrt{\frac{γ}{3}}$
We have $V_{s} = \sqrt{\frac{γ P}{d}} = \sqrt{\frac{3 P}{d}}$
or
$V_{s} = V_{r m s} \sqrt{\frac{γ}{3}}$

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