In an interference, the intensity of two interfering waves are I and 4 I respectively. They produce intensity at two points A and B with phase angle of π /2 and π respectively. Then difference in betw

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In an interference, the intensity of two interfering waves are I and 4 I respectively. They produce intensity at two points A and B with phase angle of π /2 and π respectively. Then difference in between them is

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Resultant intensity, I = I 1 ​ + I 2 ​ + 2 I 1 ​ I 2 ​ ​ cos ϕ Here, I 1 ​ = I , I 2 ​ = 4 I , ϕ 1 ​ = 2 π ​ and ϕ 2 ​ = π At A intensity, I A ​ = I + 4 I + 2 4 I 2 ​ cos 2 π ​ = 5 I At B intensity, I B ​ = I + 4 I + 2 4 I 2 ​ cos π = 5 I − 4 I = I Therefore, difference between intensities is I A ​ − I B ​ = 5 I − I = 4 I

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