Three waves of equal frequency having amplitudes
,
marrive at a given point with successive phase difference of
, the amplitude of the resulting wave (in
) is given by
Text Solution
Verified by ExpertsThe correct answer is:
B
Given, the amplitudes of the waves are

and the phase difference between 1st and 2nd wave is
and that between 2 nd and 3rd wave is
.
Therefore, phase difference between 1st and 3rd is
. Combining 1st with 3rd, their resultant amplitude is given by

or 


Now combining this with 2nd wave we have the resultant amplitude
or 


Hence, amplitude of resulting wave is
.
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