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A double - slit apparatus is immersed in...

A double - slit apparatus is immersed in a liquid of refractive index `1.33` it has slit separation of 1mm and distance between the plane of slits and screen `1.33` m the slits are illuminated by a parallel beam of light whose wavelength in air is 800 nm.
(i) Calculate the fringe width.
(ii) One of the slits of apparatus is covered by a thin glass sheet of refractive index `1.53` Find the smallest thickness of the sheet to bring the adjacent minima on the axis.

Text Solution

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As fringe width `beta= (D lambda"/"d)` and by presence of medium the wavelength becomes `(lambda"/"mu)`, so the fringe width in liquid will be
`beta.= (D lambda)/(mu d)= (1.33xx 6300xx 10^(-10))/(1.33xx 1 xx 10^(-3))= 0.63mm`.
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