Q.

The path difference between two interfering waves at a point on the screen is λ/6 from central maximum. The ratio of intensity at this point and that at the central fringe will be

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a

0.75

b

853

c

7.5

d

85.3

answer is A.

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Detailed Solution

ϕ=2πλ(Δx)=2πλ×λ6=Π3I=4I0cos2ϕ2=4I0322=4I034 and Icentral maximum =4I0IIcentral maximum =34=0.75

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