Question

If the velocity of sound in air is $340\mathrm{m}{\mathrm{s}}^{-1}$, calculate frequency when the wavelength is $0.85\mathrm{m}$.

Answer 1

Step 1: Given data

Velocity, $\mathrm{v}=340\frac{\text{m}}{\text{s}}$.

Wavelength, $\mathrm{\lambda }=0.85\mathrm{m}$.

To Find: The frequency of sound.

Step 2: Calculate the frequency of sound

$$\begin{gathered} \mathrm{v}=\mathrm{f\lambda } \\ 340=\mathrm{f}\times 0.85 \\ \mathrm{f}=\frac{340}{0.85} \\ \mathrm{f}=400\mathrm{Hz} \end{gathered}$$

Hence, the frequency is $400\text{Hz}$.