Q. If at same temperature and pressure, the densities for two diatomic gases are respectively $d_{1}$ and $d_{2},$ then the ratio of velocities of sound in these gases will be
A) $\sqrt{\frac{d_{2}}{d_{1}}}$
B) $\sqrt{\frac{d_{1}}{d_{2}}}$
C) $d_{1}d_{2}$
D) $\sqrt{d_{1}d_{2}}$
Explanation
(a) Speed of sound $v = \sqrt{\frac{\gamma P}{d}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{d_{2}}{d_{1}}}$ [$\because P$-constant]
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.