`n` identical waves each of intensity `I_(0)` interfere each other. The ratio of maximum inensities if interference is (i) coherent and (ii) incoherent is

Options

A. `n`
B. `n^(2)`
C. `n^(3)`
D. `(1)/(n^(2))`

Answer

A

Explanation

When interferecne is coherent,
`I_(max) = (sqrt(I_(0)) + sqrt(I_(0)) + …n ti mes)^(2) = n^(2) I_(0)`
When interference is incoherent,
`I'_(max) = I_(0) + I_(0) + …n times = n I_(0)`
`:. (I_(max))/(I'_(max)) = (n^(2) I_(0))/(n I_(0)) = n`