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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