Question

A wave is moving in air with a velocity of 340 m/s. Calculate the wavelength if its frequency is 512 vibrations/sec.

Answer 1

We have to find the wavelength of the sound wave.
Given: Frequency f = 512 Hz
Velocity of sound wave ν = 340 m/s
We know the relation between velocity, frequency, and wavelength $\mathrm{\lambda }=\frac{\mathrm{\nu }}{f},$
where ν is the velocity, f the frequency, and λ the wavelength.
So,
$$\begin{gathered} \mathrm{\lambda }=\frac{340}{512}\mathrm{m} \\ =0.664\mathrm{m} \end{gathered}$$

Therefore, wavelength of the sound wave is 0.66 m.