Wave OpticsHard
Question
In the figure shown, a parallel of light is incident on the plane of the slits of Young′s double slit experiment. Light incident on the slit, S1 passes through a medium of variable refractive index μ = 1 + ax (where ′X′ is the distance from the plane of slits as shown), upto a distance ′l′ before falling on S1. Rest of the space is filled with air. If at ′O′ a minima is formed, then the minimum value of the positive constant a (terms of l and wavelength ′λ′ in air )is :
Options
A.
B.
C.
D.none of these
Solution
Path difference occur due to the medium of variable refraction index = (μ - 1) t
∴
For minima at ′0′ the path difference should be
(for minimum value of)
∴
, ∴ a = 
∴
For minima at ′0′ the path difference should be
(for minimum value of)∴
, ∴ a = Create a free account to view solution
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