Question

The bulk modulus of a liquid of density $8000kg{m}^{-3}$ is $2\times 10^{9}N{m}^{-2}$. The speed of sound in that liquid is (in $m{s}^{-1}$)

• A. $200$
• B. $250$
• C. $100$
• D. $350$
• E. $500$

Answer 1

Answer: (E)

Given, $\rho =8000kg{m}^{-3}$ and $B=2\times 10^{9}N{m}^{-2}$
We know the velocity of sound in liquid is
$v=\sqrt{\frac{B}{\rho }}$
$V=\sqrt{\frac{2\times 10^9}{8000}}$
$V=\sqrt{\frac{1}{4}\times 10^6}$
$V=\frac{1000}{2}=500m{s}^{-1}$