Question

A rock dropped into a pond produces a wave that takes 11.3 s to reach the opposite shore, 26.5 m away. the distance between consecutive crests of the wave is 3 m. what is the frequency of the wave? answer in units of hz.

Answer 1

The wave takes 11.3 s to cover a distance of 26.5 m, so its speed is:

`v= (S)/(t)= (26.5 m)/(11.3 s)=2.35 m/s`

The distance between two consecutive crests is 3 m, and this corresponds to the wavelength of the wave. To find its frequency, we can use the relationship between the speed v, the wavelength
`\lambda` and the frequency f:

`f= (v)/(\lambda)= (2.35 m/s)/(3 m)=0.78 Hz`