Question

Speed of sound in air at constant temperature

• A. is proportional to the atmospheric pressure.
• B. is proportional to the square of atmospheric pressure.
• C. is proportional to the square root of atmospheric pressure
• D. does not depend on atmospheric pressure.

Answer 1

The correct option is D does not depend on atmospheric pressure.

Speed of sound is given by
$v=\sqrt{\frac{\gamma P}{\rho }}$
and $\frac{P}{\rho }=\frac{RT}{M}=$ constant at constant temperature for given gas.
Thus, speed of sound in air at constant temperature does not depend on atmospheric pressure.