When two waves of almost equal frequencies `v_(1)` and `v_(2)` reach at a point simultaneously, the time interval between successive maxima is

Options

A. `v_1 + v_2`
B. `v_1 - v_2`
C. `(1)/( v_1 + v_2)`
D. `(1)/( v_1 - v_2)`

Answer

D

Explanation

When two waves of almost equal frequencies `v_1 and v_2` reach at a point simultaneously, beats are produced.
Beat frequency, `v_("beat") = v_1 - v_2`
Time interval between successive maxima
`= (1)/( v_("beat") ) = (1)/( v_1 - v_2)`