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In YDSE with d = 1 mm and D = 1 m, Slabs...

In YDSE with `d = 1 mm` and `D = 1 m`, Slabs of `(t = 1 mu m, mu = 3)` and `(t = 0.5mu m, mu = 2)` are introduced in front of upper and lower slits, respectively. Find the shift in the fringe pattern.

Text Solution

Verified by Experts

Optical path for light coming from upper slit `S_(1)` is
`S_(1)P+1mu,(2-1)=S_(2)+0.5 mum`
Similarly optical path for light coming from `S_(2)` is
`S_(1)P+0.5mu,(2-1)=S_(2)+0.5 mum`
Path difference : `Deltap=(S_(2)P+0.5 mum)-(S_(1)P+2mum) =(S_(2)P-S_(1)P)-1.5 mum.`
`=(yd)/(D)-1.5mum`
for central bright fringe `Deltap=0`
`rArr y=(1.5 mum)/(1mm)xx1m=1.5 mm.`
The whole pattern is shifted by `1.5 mm` upwards.
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