Light from two coherent sources of the same amplitude A and wavelength `lambda` illuminates the screen. The intensity of the central maximum is `I_(0)`. If the sources were incoherent, the intensity at the same point will be

Options

A. 4`I_(0)`
B. 2`I_(0)`
C. `I_(0)`
D. `(I_(0))/(2)`

Answer

D

Explanation

For two coherent sources, `I_(1) = I_(2)`
`I_(max) = (A_(1) + A_(2))^(2) = (sqrtI_(1) + sqrt I_(2))^(2)`
This is given as `I_(0)` for maximum and zero for minimum.If there are two noncoherent sources, there will be no maximum and minimum intensities.Instead of all the intensity `I_(0)` at maximum and zero for minimum, it will be just `I_(0)/(2)`