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What would be the resultant intensity at a point of destructive interference, if there are two identical coherent waves of intensity I0 producing an interference pattern?

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in Physics – Class 12 by (135k points)
What would be the resultant intensity at a point of destructive interference, if there are two identical coherent waves of intensity I0 producing an interference pattern?

(a) 5 I0

(b) 2 I0

(c) I0

(d) zero

This question was addressed to me in a national level competition.

The question is from Wave Optics in portion Wave Optics of Physics – Class 12

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Best answer
The correct answer is (d) zero

Best explanation: Resultant intensity at the point of destructive interference will be as follows:

I = I0 + I0 + 2√I0 I0 cos 180^o

I = 0

Therefore, the value of the resultant intensity at a point of destructive interference is zero.

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