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If C₀ be the velocity of sound in air and C be the r.m.s. velocity, then

1. C₀ < C
2. C₀ = C
3. C₀ = C(γ/3)¹/²
4. none of these

Correct answer: C₀ < C

Solution

The velocity of sound in air (C₀) is related to the root mean square (r.m.s.) velocity (C) of gas molecules, but C₀ is always less than C because C₀ depends on the bulk modulus and density of the medium, while C depends on the temperature and molecular mass of the gas.

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