Question

The frequency of the sound emitted by the loudspeaker is 1020 Hz. Calculate the wavelength of the sound wave in air in cm where its velocity is 340 m/s.

Answer 1

Frequency of the wave = 1020 Hz

The velocity of the wave = 340 m/s

According to relation, $(\mathrm{Wave}\mathrm{Speed})v=f\mathit{}\left(\mathrm{Frequency}\right)\times \lambda \left(\mathrm{wavelength}\right)$

$$\begin{gathered} \Rightarrow v=f\lambda =1020\mathrm{Hz}\times \lambda =340\mathrm{m}/\mathrm{s} \\ \Rightarrow \lambda =\frac{340\mathrm{m}/\mathrm{s}}{1020\mathrm{Hz}}=0.33\mathrm{m}=33\mathrm{cm} \\ \Rightarrow \mathrm{\lambda }=33\mathrm{cm} \end{gathered}$$

Hence, the wavelength of the wave is 33 cm.