Question

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

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

Answer 1

Answer: (E)

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