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Q.

Figure shows two point sources which emit light of wavelength λ in phase with each other and are at a distance d=5.5λ apart along a line which is perpendicular to large screen at a distance L from centre of the sources (assume that d<<L).

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a

Only six bright fringes appear on the screen

b

The Point y = 0 corresponds to dark fringe

c

Point y = 0 corresponds to bright fringe

d

Only five bright fringes appear on the screen

answer is A, D.

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Detailed Solution

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Path difference
Δx=dcosθΔxmin=0
And  Δxmax=d=5.5λ
So,  Δx=0,λ2,λ,3λ2,2λ,5λ23λ,7λ2,4λ,9λ2,5λ,11λ2
Practically only five fringes will be on the screen, corresponding to Δx=λ,2λ,3λ,4λ, and 5λ

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