Question

Select One Correct Option from the following: 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 $\theta_{i}$ from medium and emerges in the medium 2 with refraction angle $\theta_{f}$ with a lateral dis- placement l. Which of the following statement(s) is(are) true?
(A) $n_{1} \sin\theta_{i} =n_{2} \sin\theta_{f}$
(B) $n_{1} \sin\theta_{i} =(n_{2}-n_{1} )\sin\theta_{f}$
(C) l is independent of $n_{2}$
(D) l is dependent of n(z).

Answer 1

a option is correct I think

Answer 2

Select One Correct Option from the following: 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 $\theta_{i}$ from medium and emerges in the medium 2 with refraction angle $\theta_{f}$ with a lateral dis- placement l. Which of the following statement(s) is(are) true?

(A) $n_{1} \sin\theta_{i} =n_{2} \sin\theta_{f}$

(B) $n_{1} \sin\theta_{i} =(n_{2}-n_{1} )\sin\theta_{f}$

✔️ (C) l is independent of $n_{2}$

(D) l is dependent of n(z).