Two coherent sources of light interfere. The intensity ratio of two sources is 1 : 4 . For this interference pattern if the value of I max + I min I max - I min is equal to 2 α + 1 β + 3 , then α β will be

Step-by-step solution

Given here, I 1 I 2 = 1 4 or I 2 = 4 I 1 Maximum intensity is I max = I 1 + I 2 2 = I 1 + 4 I 1 + 2 I 1 4 I 1 = 9 I 1 Minimum intensity is I min = I 1 - I 2 2 = I 1 + 4 I 1 - 2 I 1 4 I 1 = I 1 The ratio of I max + I min I max - I min is 9 I 1 + I 1 9 I 1 - I 1 = 10 8 = 5 4 = 2 α + 1 β + 3 α = 2    β = 1 ∴ α β = 2 1 = 2