Two coherent sources of intensities `I_1` and `I_2` produce an interference pattern. The maximum intensity in the interference pattern will be

Options

A. `I_(1)+I_(2)`
B. `I_(1)^(2)+I_(2)^(2)`
C. `(I_(1)+I_(2))^(2)`
D. `(sqrt(I_(2))+sqrt(I_(2)))^(2)`

Answer

D

Explanation

`I_(1)propa_(1)^(2),propa_(2)^(2)`
`I_("resultant")=I_(1)+I_(2)+2sqrt(I_(1))sqrt(I_(2))cosphi`
`I_(max)=(sqrt(I_(1))+sqrt(I_(2)))^(2)`
When `cosphi=1,phi=0,2pi`