Question

When poked by a spear, an operatic soprano lets out a 1200 Hz shriek. What is its wavelength if the speed of sound is 345 m/s?

Short answer

0.29 m is the required wavelength.

Step-by-step solution

Given Data

The frequency is f = 1200 Hz .

The speed of sound is v = 345 m/s .

Explanation

The velocity of a sound wave is defined as the product of wavelength and frequency of wave. Sound are longitudinal mechanical waves.

Solution

The wavelength of a wave is given by,

$\mathit{\lambda }\mathbf{=}\frac{\mathbf{v}}{\mathbf{f}}$

For, f = 1200 Hz and v = 345 m/s,

$$\begin{gathered} \lambda =\frac{345m/s}{1200Hz} \\ =0.29m \end{gathered}$$

The wavelength of the given wave is found to be 0.29 m .