Intreference fringes were produced in Young’s double slit experiment using light of wavelength 5000Å. When a film of material 2.5×10 -3 cm thick was placed over one of the slits, the frings pattern shifted by a distance equal to 20 fringe widths. The refractive index of the material of the film is:
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: Fringe width
……. (i)
Where D is the distance between the screen and slit and d is the distance between two slits.
When a film of thickness t and refractive index
is placed over one of the slit, the fringe pattern is shifted by distance S and is given by
…… (ii)
Given :
…… (iii)
From equation (i), (ii) and (iii) we get,

Or 

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