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 $n_{1}$ and $n_{2}$ $(> n_{1})$ , 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?

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 $n_{1}$ and $n_{2}$ $(> n_{1})$ , 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?

Infinity Learn · Accepted Answer

Snell's Law , $$n1$$ $$sin$$θ$$i=$$ $$n2$$ $$sin$$θfLateral displacement occurs before the light emerges out in medium $$n2$$ . Hence it does not depend on medium $$2$$.Lateral displacement depends on θi , $$n1$$ , $$n(z)$$

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