Three waves of equal frequency having amplitudes 10 mm, 4mm and 7mm arrive at a given point with successive phase difference of π π /2; the amplitude of the resulting wave in mm is given by
Text Solution
Verified by ExpertsThe correct answer is:
C
The amplitudes of the waves are
and the phase difference between 1st and 2 nd wave is
and that between 2 nd and 3 rd wave is 
.
Therefore, phase difference between 1st and 3rd is 
. Combining 1st with 3rd, their resultant amplitude is given by
Now combining this with 2 nd wave we have, the resultant amplitude
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