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

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 $n_{1} a n d n_{2} (> n_{1}),$ as shown in the figure. A ray of light is incident with angle $θ_{i}$ from medium 1 and emerges in medium 2 with refraction angle $θ_{f}$ with a lateral displacement $l$ . Which of the following statement(s) is (are) true?
Screenshot 2026-02-08 at 10.00.45 PM.png

TestHub · Accepted Answer

For parallel slab n 1 sin ⁡ θ i = n 2 sin ⁡ θ f And l depends on refractive angle in slab ∴ l depends on refractive index of slab and independent of n 2

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