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Q.

A plate of thickness  't' made of a material of refractive index  'μ' is placed in front of one of the slits in a double slit experiment. What should be the minimum thickness  't', which will make the intensity at the centre of the fringe pattern zero?

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a

μ−1λ2

b

λμ−1

c

λ2μ−1

d

μ−1λ

answer is C.

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Detailed Solution

Intensity at the centre of the pattern will be zero,if path difference at the centre is  λ2.Now, the path difference introduced by glass plate  of thickness  't' is  μ−1t∴μ−1t=λ2  or   t=λ2μ−1.Therefore, the correct answer is (C).
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