Q. The value of densities of two diatomic gases at constant temperature and pressure are $d_{1}$ and $d_{2},$ then the ratio of speed of sound in these gases will be
A) $d_{1}d_{2}$
B) $\sqrt{d_{2}/d_{1}}$
C) $\sqrt{d_{1}/d_{2}}$
D) $\sqrt{d_{1}d_{2}}$
Explanation
(b) Speed of sound in gases in given by
$v_{sound} = \sqrt{\frac{\gamma P}{\rho}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{\rho_{2}}{\rho_{1}}} = \sqrt{\frac{d_{2}}{d_{1}}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.