Question

A light ray enters into a medium whose refractive index varies along the x-axis as n(x)=n₀ √(1 +x/4)  where n₀ = 1. The medium is bounded by the planes x = 0, x = 1 & y = 0. If the ray enters at the origin at an angle 30º with x–axis.

(A) equation of trajectory of the light ray is y = [√(3 +x – √3)]

(B) equation of trajectory of the light ray is y = 2 [(√3+ x – √3)]

(C) the coordinate the point at which light ray comes out from the medium is [1, 2(2 – √3 )]

(D) the coordinate the point at which light ray comes out from the medium is [0, 2(2 – √3)]

Answer 1

Correct option (B,C)

Explanation:

∴ Position at which ray comes out of the medium is (1, 2(2 -√3)) .