Question

Calculate the wavelength of a sound wave whose frequency is $220\mathrm{Hz}$ and speed is $440\mathrm{m}/\mathrm{s}$ in a given medium.

Answer 1

Step 1: Given data

The speed of the wave, $\mathrm{v}=440\mathrm{m}/\mathrm{s}$

Frequency, $\mathrm{n}=220\mathrm{Hz}=220s^{-1}$

To find

The wavelength ($\mathrm{\lambda }$) of the sound waves =?

Step 2: Finding the wavelength of a sound wave

We know the formula,

$\mathrm{v}=\mathrm{\lambda }\times \mathrm{n}$

or,

$\mathrm{\lambda }=\frac{\mathrm{v}}{\mathrm{n}}$

By substituting the given values, we get

$$\begin{gathered} \mathrm{\lambda }=\frac{440m{s}^{-1}}{220s^{-1}} \\ =2\mathrm{m} \end{gathered}$$

Therefore, the wavelength of a sound wave will be $2\mathrm{m}$.