Question

If the bulk modulus of water is $2100MPa$, what is the speed of sound in water?

• A. $1450m{s}^{-1}$
• B. $2100m{s}^{-1}$
• C. $1400m{s}^{-1}$
• D. $1200m{s}^{-1}$

Answer 1

The correct option is A $1450m{s}^{-1}$

Speed of sound in water is
$V=\sqrt{\frac{B}{\rho }}$
where $B$ is the bulk modulus and $\rho$ is the density of water.

Here, $B=2100MPa=2100\times {10}^{6}Pa,\rho ={10}^{3}kg{m}^{-3}$

$\therefore V=\sqrt{\frac{2100\times {10}^6}{{10}^3}}=1450m{s}^{-1}$