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Two identical coherent waves each of int...

Two identical coherent waves each of intensity `I_(0)` are producing interference pattern. What are the values of resultant intensity at a point of (i) constructive interference (ii) destructive interference ?

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Here, `I_(1) = I_(2) = I_(0)`,
`I_(R ) = I_(1) + I_(2) + 2 sqrt(I_(1)I_(2)) cos phi`
At a point of constructive interference, `phi = 0`
`:. I_(R ) = I_(0) + I_(0) + 2 sqrt(I_(0)I_(0)) cos 0^(@) = 4 I_(0)`
At a point of destructive interference, `phi = 180^(@)`
`:. I_(R ) = I_(0) + I_(0) + 2 sqrt(I_(0)I_(0)) cos 180^(@)`
`= 2 I_(0) - 2 I_(0) = 0`
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