Question

Sound waves travel from air to water. The velocity of the sound waves in air is ${332ms}^{-1}$ and wavelength is 2 m. If the wavelength of the sound waves is 850 cm, find its velocity in water.

Answer 1

The velocity of sound $=$ wavelength $\times$ frequency

So, $v=\lambda f$

The frequency of sound waves in air, $f=\frac{v}{\lambda }=\frac{332}{2}=166Hz$

The frequency does not depend on medium.

Thus, velocity in water $v={\lambda }_w\times f=\left(850\right)\left(166\right)=141100cm/s=1411m/s$