When two waves of almost equal frequencies v1 and v2 reach at a point simultaneously, what is the time interval between successive maxima?
When two waves of almost equal frequencies v1 and v2 reach at a point simultaneously, what is the time interval between successive maxima?

Answer:

Beats are created when two waves of nearly identical frequency arrive at the same location at the same time. It is given that the two frequencies are almost equal, that is v1 = v2. And for the formation of the beats, the frequencies must be v2 > v1.

The beat frequency is given by:

$ {{v}_{beat}}={{v}_{1}}-{{v}_{2}} $

The time interval between successive maxima

$ T=\frac{1}{{{v}_{beat}}}=\frac{1}{{{v}_{1}}-{{v}_{2}}} $