Question

The velocity of sound in a gas is $30{ms}^{-1}$ at ${27}^{o}C$. What is the velocity of the sound in the same gas at ${127}^{o}C$?

• A. $20{ms}^{-1}$
• B. $30{ms}^{-1}$
• C. $20\sqrt{3}{ms}^{-1}$
• D. $60{ms}^{-1}$

Answer 1

Answer: (C)

$20\sqrt{3}{ms}^{-1}$

$T_1=27+273=300K$

$T_2=127+273=400K$

We know velocity of sound is directly proportional to $\sqrt{T}$

So, $\frac{V_2}{30}=\frac{400}{300}$

$V_2=20\sqrt{3}m{s}^{-1}$