In the figure shown, a parallel of light is incident on the plane of the slits of Young′s doub

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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 :

Accepted Answer

Path difference occur due to the medium of variable refraction index = (&#956; - 1) t&#8756; For minima at &#8242;0&#8242; the path difference should be (for minimum value of)&#8756; , &#8756; a =

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