The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference patten, the ratio `(I_(max)-I_(min))/(I_(max)+I_(min))` will be

Options

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

Answer

C

Explanation

`I_("max")= (sqrt(I_(1))+sqrt(I_(2)))^(2)= (sqrt(nI)+sqrt(I))^(2)= (sqrt(n)+1)^(2)I`
`I_("min")= (sqrt(n)-1)^(2)I`
`(I_("max")-I_("min"))/(I_("max")-I_("min"))= (2sqrt(n))/((n+1))`