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