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Q.

In a YDSE fringes are observed by using light of wavelength 4800 Å, if a glass plate (μ= 1.5) is introduced in the path of one of the waves and another plate( μ =1.8) of same thickness is introduced in the path of the other wave. The central fringe takes the position of fifth bright fringe. The thickness of each plate will be(in micron)

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a

8

b

0.8

c

800

d

80

answer is A.

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Detailed Solution

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 Shift due to one plate Δx1=βλμ11

 Shift due to another path Δx2=βλμ21t

 Net shift Δx=Δx2Δx1=βλμ2μ1t

 Also it is given that Δx=5β

 Hence, 5β=βλμ2μ1t

t=5λμ2μ1=5×4800×1010(1.81.5)=8×106m=8μm

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