Question

Source one creates a wave with amplitude A and intensity I0 at point P. Source two...

Source one creates a wave with amplitude A and intensity I0 at point P.
Source two creates a wave that has amplitude 2A at point P.

Waves one and two maximally constructively interfere at point P.
The intensity at point P is IP.
What is the ratio of IP/I0 when waves one and two are maximally constructively interfering at point P?

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Answer #1

The two waves maximally constructively interfere at point P.

Hence the amplitude of the resulting wave at the point P = A + 2A = 3A

The intensity at a point is directly proportional to the square of the amplitude of the wave.

Therefore,

and

Dividing both to get the ratio,

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