The velocity of sound in air is:

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

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Independent of the pressure of air

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(D) The speed of sound in a gas 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 gas.According to the ideal gas law,$PV = nRT$,which can be written as $P = \frac{\rho RT}{M}$,where $M$ is the molar mass.Substituting this into the velocity formula,we get $v = \sqrt{\frac{\gamma RT}{M}}$.Since $v$ depends only on temperature $T$ and the nature of the gas (constant $\gamma$ and $M$),it is independent of the pressure $P$ at a constant temperature.Therefore,the velocity of sound in air is independent of the pressure of air.

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