JEE Advanced | 2016Basic Maths and Units and DimensionsHard

Question

A transparent slab of thickness d has a refractive index n (z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n1 and n2 (> n1 ), as shown in the figure. A ray of light is incident with angle θi from medium 1 and emerges in medium 2 with refraction angle  θf with a lateral displacement l.


Which of the following statement (s) is (are) true?

Options

A.

n1 sinθi=n2 sinθf

B.

n1 sinθi=n2 sinθf

C.

l is independent of n2

D.

l is dependent on n (z)

Solution

From Snell’s Law
n1 sinθi=n(d) sinθd=n2 sin θf
The deviation of ray in the slab will depend on n (z)
Hence, l will depend on n (z) but not on n2 

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