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Answer 1 · 2014-02-02T02:29:49

The wavelength decreases as the frequency increases.

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.

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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.