The intensity ratio of two coherent sources of light is p. They are interfering in some region and produce interference patten. Then the fringe visibility is

Options

A. (a) `(1+p)/(2sqrtp)`
B. (b) `(2sqrtp)/(1+p)`
C. (c) `(p)/(1+p)`
D. (d) `(2p)/(1+p)`

Answer

B

Explanation

Visibility `V=(I_(max)-I_(min))/(I_(max)+I_(min))=(2sqrt(I_1I_2))/((I_1+I_2))`
`=(2sqrt(I_1//I_2))/((I_1/I_2+1))=(2sqrtP)/((P+1))`