Question

Question #f2711

Answer 1

The wavelength decreases as the frequency increases.

Explanation:

The wavelength `λ` is the distance between successive peaks in a wave.

The frequency `f` of a wave is the number of complete waves that pass a point in a given time.

Above we see two sound waves travelling through space at the same velocity `v`.

The red dot follows the amplitude of the wave as it goes by.

The frequency of oscillation of the dot is the frequency `f` of the wave. The second wave has twice the frequency of the first.

You can see that the wavelength is halved when the frequency is doubled.

The frequency `f` and wavelength `λ` are related to one another and to the speed of the wave `v` by the formula

`fλ = v`.

Since `v` is constant, if `f` increases, `λ` must decrease, and vice versa.