Q.

In a standard YDSE setup, the fringe width on the screen is 1.5mm. When a thin glass film is pasted in front of the upper slit, the fringe pattern shifts up. But it is seen that a point P above central maxima where intensity was one fourth the intensity at central maxima, intensity remains the same. There were no maxima between central maxima and point P before film was introduced. What can be the thickness of the film? Take μ=15,λ=450nm :-

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a

5×107m

b

1.4×106m

c

9×107m

d

3×107m

answer is A, C.

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Detailed Solution

I0=4I0cos2πydλD      cosπydλD=±12        πydλD=π3,2π3,4π3...........      y=β3,2β3,4β3......... Δy=β3 or  β or  2β3 or   4β3

Δy=(μ1)tDd=π3λDdt=2nλ3=300nm×n

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