What is the wavelength of a sound wave with a frequency of 440 Hz if the speed of sound in air is 340 m/s?

Jun 20, 2016

The sound wave has a wavelength of 0.773m.

Explanation:

To solve this problem we have to use the wave equation that is given below:

We know the frequency and the velocity, both of which have good units. All we have to do is rearrange the equation and solve for $\lambda$:

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

Let's plug in our given values and see what we get!

$\lambda = \frac{340 \frac{m}{\cancel{s}}}{440 {\cancel{s}}^{- 1}}$

$\lambda = 0.773 m$