The ratio of the speed of sound to the average speed of an air molecule at $300 K$ and $1$ atmospheric pressure is close to

1

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\sqrt{1 / 300}

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\sqrt{300}

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300

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Solution

The correct option is A $1$
Speed of sound $V_{s} = \sqrt{\frac{γ k T}{M}}$
molecule speed $V_{m} = \sqrt{\frac{3 k T}{M}}$
$\frac{V_{s}}{V_{m}} = 1$ , value of $γ$ close to 1.7=2

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The ratio of the speed of sound to the average speed of an air molecule at 300K and 1 atmospheric pressure is close to

The correct option is A 1Speed of sound Vs=√γkTMmolecule speed Vm=√3kTMVsVm=1 , value of γ close to 1.7=2

The ratio of the speed of sound to the average speed of an air molecule at $300 K$ and $1$ atmospheric pressure is close to

The correct option is A $1$
Speed of sound $V_{s} = \sqrt{\frac{γ k T}{M}}$
molecule speed $V_{m} = \sqrt{\frac{3 k T}{M}}$
$\frac{V_{s}}{V_{m}} = 1$ , value of $γ$ close to 1.7=2