The speed of sound in air:

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(C) The speed of sound in air is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$,where $\gamma$ is the adiabatic index,$P$ is the pressure,and

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increases with increase in humidity

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(C) The speed of sound in air is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$,where $\gamma$ is the adiabatic index,$P$ is the pressure,and $\rho$ is the density of the air.Since the density of water vapour is less than the density of dry air at the same temperature and pressure,the presence of moisture (humidity) decreases the effective density $\rho$ of the air.As the speed of sound $v$ is inversely proportional to the square root of the density $(v \propto \frac{1}{\sqrt{\rho}})$,a decrease in density leads to an increase in the speed of sound.Therefore,the speed of sound in air increases with an increase in humidity.

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