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(D) The velocity of sound in an ideal gas is given by the formula $v = \sqrt{\frac{\gamma RT}{M}}$,where $\gamma$ is the adiabatic index,$R$ is the un

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(D) The velocity of sound in an ideal gas is given by the formula $v = \sqrt{\frac{\gamma RT}{M}}$,where $\gamma$ is the adiabatic index,$R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.$1$. Since $v \propto \sqrt{T}$,the velocity of sound increases as temperature increases. Therefore,statements $A$ and $B$ are incorrect.$2$. As humidity increases,the concentration of water vapor (which has a lower molar mass than dry air) increases,which decreases the effective molar mass $M$ of the air mixture. Since $v \propto \frac{1}{\sqrt{M}}$,the velocity of sound increases with humidity. Therefore,statement $C$ is incorrect.Since statements $A$,$B$,and $C$ are all incorrect,the correct choice is $D$.

Which of the following statements are wrong about the velocity of sound in air?

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