How to prove that v = f x λ

Dear Student,

The number of cycles / vibrations produced by a source of sound per second is called frequency. It is the rate at which sound wave is produced by the source.

F = 1/T where T is the time period and F is frequency…………………….(1)

The relationship of frequency and wavelength is :

Velocity of wave(v)= wavelength(λ)/time period(T)


from (1) we get :




Therefore we conclude that Frequency is inversely proportional to wavelength λ.


Hope this information will clear your doubts about the topic.

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