Wave Mechanics Question 851
Question: The velocity of sound is vs in air. If the density of air is increased to 4 times, then the new velocity of sound will be
[BHU 2003]
Options:
A) $ \frac{v _{s}}{2} $
B) $ \frac{v _{s}}{12} $
C) $ 12v _{s} $
D) $ \frac{3}{2}v _{s}^{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ v _{sound}\propto \frac{1}{\sqrt{\rho }}\Rightarrow \frac{v _{1}}{v _{2}}=\sqrt{\frac{{\rho _{2}}}{{\rho _{1}}}}=\sqrt{\frac{4}{1}}=2 $
$ \Rightarrow $ $ v _{2}=\frac{v _{1}}{2}=\frac{v _{s}}{2} $
BETA
