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 and , as shown in the figure. A ray of light incident with angle  from medium 1 and emerges in medium 2 with refraction angle with lateral displacement .
Which of the following statement(s) is (are) true?

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This question has multiple correct options
A

is dependent on n(z)

B

C

D

is independent of

Hard
JEE Advanced
Solution
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Correct options are A) , C) and D)

since law of refraction  is valid at each boundary.

is independent of since the lateral displacement occurs even before the light enters medium 2.

is dependent on n(z) since lateral displacement depends on the refractive index.

Answer is A,C and D.

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