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 from medium 1 and emerges in medium 2 with refraction angle  with a lateral displacement l.

Which of the following statement (s) is (are) true?
Options
A.
B.
C.
l is independent of n2
D.
l is dependent on n (z)
Solution
From Snell’s Law
The deviation of ray in the slab will depend on n (z)
Hence, l will depend on n (z) but not on n2Â

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