Home Physics Wave Optics All Topic Question for Revision Test Three waves of equal frequency having amplit…
Physics Wave Optics All Topic Question for Revision Test MCQ (Single Correct)

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

A
4
B
5
C
6
D
7

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Text Solution

Verified by Experts
The 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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