Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima will be :

Step-by-step solution

Data provided in the question is, the ratio of the intensities, I 1 I 2 = 9 4    After taking square root of above equation on both sides, we get, I 1 I 2 = 3 2 Apply componendo and dividendo, ⇒ I 1 + I 2 I 1 - I 2 = 3 + 2 3 - 2 = 5 1 ⇒ I 1 + I 2 I 1 - I 2 2 = I max I min = 25 1