Question

A wave travels at a constant speed.How does the frequency change if the wavelength is reduced by a factor of 3 The frequency decreases by a factor of 3 the frequency increases by a factor of 3 the frequency increases by a factor of 9 the frequency does not change

Answer 1

The frequency increases by a factor of 3.

Step-by-step explanation:

The relation between speed, wavelength and frequency of a wave is given by :

`v=f\lambda`

or

`f\propto (1)/(\lambda)`

A wave travels at a constant speed. If the wavelength is reduced by a factor of 3, it would mean that the frequency increases by a factor of 3 because there is an inverse relationship between wavelength and frequency.