Two source `S_(1)` and `S_(2)` of intensity `I_(1)` and `I_(2)` are placed in front of a screen [Figure a]. The pattern of intensity distribution see in the central portion is given by Figure b. In this case which of the following statement are true.

Options

A. `S_(1)` and `S_(2)` have the same intensities.
B. `S_(1)` and `S_(2)` have a constant phase difference
C. `S_(1)` and `S_(2)` have thesamephase.
D. `S_(1)` and `S_(2)` have the same wavelength.

Answer

A, B, D

Explanation

The resultant intensity of two identical coherent lights when superposed is
`I = 4I_(0) cos^(2) ((theta)/(2))`
for two sources to be coherent phase difference must be constant and should have same wavelength