Question

A sound travels at a speed of $339m{s}^{-1}$. If its wavelength is $1.5cm$, then find out the frequency of the sound wave.

Answer 1

Step 1: Given data

The speed of the sound, $c=339m{s}^{-1}$

The wavelength of the sound, $\lambda =1.5cm$ = $0.015m$

Step 2: Formula used to find the frequency

The relation connecting frequency, wavelength, and speed, $\nu =\frac{c}{\lambda }$

Step 3: To find out the frequency of the sound wave

$\nu =\frac{339}{0.015}$

$\nu =22600Hz$

Hence, the frequency of the sound wave is $22600Hz$.