The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is 9: 1 . The intensities of the light sources used are in the ratio

Step-by-step solution

array ll & I_ I_ = ( I₁ + I₂ )^2 ( I₁ - I₂ )^2 & 9 1 = ( I₁ + I₂ )^2 ( I₁ - I₂ )^2 & 3 1 = I₁ + I₂ I₁ - I₂ array ...(given) array ll & 3 ( I₁ - I₂ )=1 ( I₁ + I₂ ) & 3 I₁ -3 I₂ = I₁ + I₂ & 2 I₁ =4 I₂ & I₁ I₂ = 2 1 & I₁ I₂ = 4 1 array