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Q.

When a mica plate of thickness 0.1mm is introduced in one of the interfering beams, the central fringe is displaced by a distance equal to 10 fringes. If the wavelength of the light is 6000 A0, the refractive index of the mica is

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a

2.4

b

1.2

c

1.6

d

1.06

answer is A.

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Detailed Solution

t=0.1mm = 0.1 x 10-3m, n =10 fringes shifted
λ=6000A0=6000×10−10mn=(μ−1)tλ⇒μ−1=nλt=10×6000×10−101×10−4=0.06⇒μ=1+0.06=1.06

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