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Q.

In young's double slit experiment dD=10−4 (d = distance between slits, D = distance of screen from the slits). At a point P on the screen resulting intensity is equal to the intensity due to the individual slit I0. Then the distance of point P from the central maximum is (λ=6000Å)

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a

2 mm

b

1 mm

c

0.5 mm

d

4 mm

answer is A.

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Detailed Solution

I=4I0cos2ϕ2I0=4I0cos2ϕ2cosϕ2=12 or ϕ2=π3 or ϕ=2π3=2πλ⋅Δx or 13=1λy⋅dD Δx=ydD⇒y=λ3×dD=6×10−73×10−4=2×10−3m=2mm
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