Question

The frequency of a wave increases. If the speed of the wave remains constant, what happens to the distance between successive crests?

(A) The distance between successive crests remains constant.
(B) The distance between successive crests increases.
(C) The distance between successive crests decreases.

Answer 1

The distance between successive crests decreases.

Step-by-step explanation:

If f is the frequency and
`\lambda` is the wavelength of a wave, then the speed of the wave is given by :

`v=f* \lambda`

on rearranging,

`f=(v)/(\lambda)`

We know that wavelength of a wave is equal to the distance between successive crests or troughs.

If the frequency of a wave increases while its speed remains constant, the wavelength decreases i.e. the distance between successive crests decreases.