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

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None of the above

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(D) The speed of sound in an ideal gas is given by the formula $v = \sqrt{\frac{\gamma RT}{M}}$.Here,$\gamma$ is the adiabatic index,$R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.Since $v$ depends only on the temperature $T$ and the nature of the gas (represented by $\gamma$ and $M$),it is independent of the pressure $P$ and density $\rho$ of the gas at a constant temperature.Therefore,the correct option is $D$.

Speed of sound at constant temperature depends on

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