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Q.

The path difference between two interfering waves of equal intensities at a point on the screen is λ/4. The ratio of intensity at this point and that at the central fringe will be

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a

1 : 1

b

1 : 2

c

2 : 1

d

1 : 4

answer is B.

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Detailed Solution

By using I=4I0cos2ϕ2=4I0cos2πΔλ∵ϕ=2πλΔ⇒I1I2=cos2πΔ1λcos2πΔ2λ=cos2π⋅λ4λcos2(0)=12

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The path difference between two interfering waves of equal intensities at a point on the screen is λ/4. The ratio of intensity at this point and that at the central fringe will be