Q. If the temperature is raised by 1 K from 300 K the percentage change in the speed of sound in the gaseous mixture is (R=8.31 J/mol-K)

A) 0.167%
B) 0.334%
C) 1%
D) 2%
Explanation

(a) From $v = \sqrt{\frac{\gamma RT}{M}}$
$\frac{\mathrm{\Delta}v}{v} = \frac{1}{2}\frac{\mathrm{\Delta}T}{T}$
$\frac{\mathrm{\Delta}v}{v} \times 100 = \frac{1}{2}\left( \frac{\mathrm{\Delta}T}{T} \right) \times 100$
$= \frac{1}{2} \times \frac{1}{300} \times 100 = 0.167\ \%$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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