Two coherent sources of intensity ratio interfere. In interference pattern, I_ max -I_ min I_ max +I_ min is

Step-by-step solution

Let the intensities of the two coherent sources be I₁ and I₂ . Given the intensity ratio I₁ I₂ = . The maximum intensity in the interference pattern is given by: I_ max = ( I₁ + I₂ )^2 = I₁ + I₂ + 2 I₁ I₂ The minimum intensity is given by: I_ min = ( I₁ - I₂ )^2 = I₁ + I₂ - 2 I₁ I₂ Calculating the difference and sum of the maximum and minimum intensities: I_ max - I_ min = 4 I₁ I₂ I_ max + I_ min = 2(I₁ + I₂) Taking the ratio of these two quantities: I_ max -I_ min I_ max +I_ min = 4 I₁ I₂ 2(I₁ + I₂) = 2 I₁ I₂ I₁ +