Answer :
Given, separation between the slits
The distance between the screen and the slit,
Wavelength of light,
refractive index of mica,
refractive index of polystyrene,
(a)The fringe width is given by
(b) The optical path difference is
Now we know that
Therefore, number of fringe shifts is
This means that there are 25 full fringe shifts from the center with 0.42w shift on one side and (1-0.42) w=0.58w on the other side
Hence, maximum on one side =
And on the other side,
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