# Q.14.    A sound wave travels at a speed of $339\: m\: s^{-1}$. If its wavelength is 1.5 cm, what is the frequency of the wave? Will it be audible?

Given,

The speed with which sound travels is $339\: m\: s^{-1}$.

and the wavelength is 1.5 cm.

Then we know the relation,

$v= \lambda \times \nu$

Where, $v$ is velocity, $\lambda$ is the wavelength, and $\nu$ is the frequency of the wave.

Hence,

$\nu = \frac{v}{\lambda} = \frac{339\ m/s}{0.015m} = 22600Hz.$

Calculated frequency is out of audible range of human ears which is $20Hz\ to \ 20,000Hz.$

Therefore, it is inaudible.

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