Q. The ratio of densities of nitrogen and oxygen is $14:16.$ The temperature at which the speed of sound in nitrogen will be same at that in oxygen at $55℃$ is
A) $35℃$
B) $48℃$
C) $65℃$
D) $14℃$
Explanation
(d) $v = \sqrt{\frac{\gamma RT}{M}} \Rightarrow \frac{T_{N}}{T_{0}} = \frac{M_{N}}{M_{0}} \Rightarrow \frac{T_{N}}{273 + 55} = \frac{14}{16} = \frac{7}{8}$
$\Rightarrow T_{N} = 287K = 14℃$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.