When a mica plate of thickness 0.1 mm 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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1.06

1.6

2.4

1.2

answer is A.

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Detailed Solution

The given values are t=0.1 mm=0.1×10−3m n=10 λ=6000 A0= 6000×10−10m Refractive index μ=nλt+1 (∵n=(μ−1)tλ) =10×6×10−70.1×10−3+1=1.06 ∴μ=1.06