Q. The speed of sound in a gas of density $\rho$ at a pressure $P$ is proportional to
A) $\left( \frac{p}{\rho} \right)^{2}$
B) $\left( \frac{P}{\rho} \right)^{3/2}$
C) $\sqrt{\frac{\rho}{P}}$
D) $\sqrt{\frac{P}{\rho}}$
Explanation
(d) The speed of sound in a gas of density $\rho$ at pressure $P$ is
$v = \sqrt{\frac{\gamma P}{\rho}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.