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 $$n1$$ and $$n2$$ $$($$$$n1)$$ , as shown in the figure. A ray of light is incident with angle θi from medium $$1$$ and emerges in medium $$2$$ with refraction angle θf 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 $$n1$$ and  $$n2$$ $$($$>$$n1)$$ , as shown in the figure. A ray of light is incident with angle  θi from medium $$1$$ and emerges in medium $$2$$ with refraction angle θf  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 , $$n1$$ , $$n(z)$$

Detailed Solution

Get Expert Academic Guidance – Connect with a Counselor Today!