The two coherent sources produce interference with intensity ratio 'b'. In the interference pattern, the ratio I_ max +I_ min I_ max -I_ min will be

Step-by-step solution

Let the intensities of the two coherent sources be I₁ and I₂ where I₁ I₂ = b , implying I₁ = b I₂ . The maximum and minimum interference intensities are I_ max = ( I₁ + I₂ )^2 and I_ min = ( I₁ - I₂ )^2 . Substituting I₁ = b I₂ gives: I_ max = I₂ ( b + 1)^2I_ min = I₂ ( b - 1)^2 The sum I_ max + I_ min = I₂[( b + 1)^2 + ( b - 1)^2] = 2I₂(b + 1) . The difference I_ max - I_ min = I₂[( b + 1)^2 - ( b - 1)^2] = 4I₂ b . The ratio simplifies to: I_ max + I_ min I_ max - I_ min = 2(b + 1) 4 b = b + 1 2 b This result corr