Find the maxinum intensity in case of interference of n identical waves each of intensity `I_(0)` if the interference is (a) coherent and (b) incoherent.
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Intensity of each of `n` waves `= I_(0)` When interference is due to coherent sources. `I = I_(1) + I_(2) + 2 sqrt(I_(1)I_(2)) cos phi` `I_(max) = I_(1) + I_(2) + 2sqrt(I_(1)I_(2)) cos 0^(@)` `= (sqrt(I_(1) + sqrt(I_(2))))^(2)` For `n` identical waves, each of intensity `I_(0)`. `I_(max) = (sqrt(I_(0)) + sqrt(I_(0)) + ...n times)^(2) = (n sqrt(I_(0)))^(2)` `= n^(2) I_(0)` When interference is due to incoherent sources, `phi` varies readomly with time. `:. (cos phi)_(av) = 0` `I_(max) = I_(1) + I_(2)` For `n` identical waves, each of intensity `I_(0)`, `I_(max) = I_(0) + I_(0) + ... n` times `I_(max) = n I_(0)`
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