The speed of sound in a gas is V and the root mean square speed of gas molecules is vrms. If the ratio of the specific heats of gas γ=1.5 then ratio v/vrms is

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1:3

1:4

1:2

answer is C.

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Detailed Solution

Root Mean Square Velocity : Vrms=3Pρ Speed of sound in a gas : V=γPρ ∴VVrms=γ3=1.53=12

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