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Q.

To make the central fringe at the center O. A mica sheet of refractive index 1.5 is introduced. Choose the correct statements(s)

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a

The thickness of sheet is 2(2−1)d in front of S1

b

The thickness of sheet is 2(2−1)d in front of S2

c

The thickness of sheet is 22d in front of S1

d

The thickness of sheet is (22−1)d in front of S1

answer is A.

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Detailed Solution

To make path difference 0 at O.Mica sheet has to be introduce in front of  S1Geometrical path difference before entering slits should be balanced by optical path difference due to mica sheet.Before entering slits ∆xGeom=SS2-SS1=2d-d=2-1dAfter passing through slits ∆xoptical=S1O-S2O=μ-1t(2−1)d=(μ−1)t⇒t=(2−1)d(μ−1)⇒t=2(2−1)d
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