Question

What frequency sound has a 0.10 m wavelength when the speed of sound is 340 m/s?

Short answer

The frequency is f = 3400 Hz

Step-by-step solution

Given Data

The speed of sound is v = 340 m/s .

The wavelength is $\lambda =0.10m$.

Step 2:Explanation

The frequency of the wave is defined as the number of vibrations made by the wave per second. It is the calculated by dividng speed of wave by wavelength of wave.

Solution

The frequency of a wave is given by,

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

For, $\lambda =0.10m$ and v = 340 m/s ,

$$\begin{gathered} f=\frac{340m/s}{0.10m} \\ =3400Hz \end{gathered}$$

The frequency of the wave is found to be 3400Hz.