Question

what is the period of a sound wave whose wavelength is 20.0m? use values from the book and show all of your work

Answer 1

The wavelength of a sound wave is related to its frequency by the relationship:

`f= (v)/(\lambda)`
where
f is the frequency
v is the speed of the wave

`\lambda` is the wavelength

The wave in our problem has wavelength of
`\lambda=20.0 m` and speed of
`v=343 m/s` (this is the speed of sound in air), therefore its frequency is

`f= (343 m/s)/(20.0 m)=17.15 Hz`

And the period of the wave is equal to the reciprocal of its frequency:

`T= (1)/(f)= (1)/(17.15 Hz)=0.058 s`