Question

A sound wave travels at a speed of 339 m/s. Its wavelength is 1.5 cm. what is the frequency of the wave? Will it be audible?

Answer 1

Step 1- Given data

Speed of sound $v=339m{s}^{-1}$

Wavelength of sound$\lambda =1.5cm=0.015m$

Step 2- Finding the frequency of the wave-

Speed of sound = Wavelength x Frequency(f)

$$\begin{gathered} v=f\lambda \\ f=\frac{v}{\lambda }=\frac{339}{0.015}=22600Hz \end{gathered}$$

Thus, the frequency will be equal to $22600Hz.$

Since The frequency range of audible sound for humans lies between $20Hzto20,000Hz.$

Thus, The frequency of the given sound is not audible.