Answer :

Given, refractive index of mica,

Thickness of mica,


Let D be the distance between the slits and the screen, “d” be the distance between two slits and be the wavelength of light.


Now, the fringe width is given by


The path difference when the mica sheet is present is


Therefore, the number of fringe shifted,


And the shift in the fringes is given by the fringe width multiplied by the number of fringes shifted.



And for the second case, the fringe width is,



Here, there’s no shift present.


From the question,






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