Question

The speed of sound in a gas is given by :
(a) V = √(P/γρ)
(b) V = √(γP/ρ)
(c) V = √(γρ/P)
(d) V = √(γρP)

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Answer

(b) V = √(γP/ρ)

Reason — According to Laplace, when sound travels in a gas, during the formation of compression and rarefaction, there is no exchange of heat in the medium i.e., the propagation of sound is an adiabatic change.

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