When two sound waves of same amplitude and nearly equal frequency move in the same direction then these two waves superimpose to each other giving rise to alternating hearing of the sound. This phenomenon is called Beat.
The no of hearing produce in one second is beat frequency.
Consider two waves having frequency f1 and f2 then the displacement equation of these two waves are given by:
If the two waves are sounded together, they will interfere and the resulting displacement y according to the principle of super position is given by:
Since, intensity of sound is related to the amplitude of sound.
Condition of maximum intensity:
The intensity will be maximum.
i.e. the intensity of sound will be minimum in the time
The consecutive time internal between the hearing two minimum intensity of sound
Since the consecutive time internal between maximum or minimum intensity of sound is called beat period.