A glass slab of thickness d = a/2 is shown in the figure. The refractive index varies as μ = a/(a-x), where a is a positive constant. A ray of light enters the slab at the origin at an angle θ₀ → π/2. Choose the CORRECT statement(s):

Question

G1 Physics · Accepted Answer

For a continuously varying refractive index n(x), the ray bends continuously while n sinθ remains constrained by the ray equation. Using μ = a/(a-x) and the limiting entry condition θ₀ → π/2 gives (x-a)² + y² = a². At x=a/2 the tangent direction gives deviation δ=π/3. Hence A and C are correct.