Graph of position of image versus position of point object from a convex lens is shown. Then, the focal length of the lens is

A simple telescope used to view distant objects has eyepiece and objective lens of focal lengths $f_e$ and $f_0$, respectively. Match Column I with Column II:
| Column I | Column II | ||
|---|---|---|---|
| (A) | Intensity of light received by lens. | (P) | Radius of aperture(R). |
| (B) | Angular magnification. | (Q) | Dispersion of lens. |
| (C) | Length of telescope. | (R) | Focal length $f_0, f_e$. |
| (D) | Sharpness of image. | (S) | Spherical aberration. |
What will be the minimum angle of incidence such that the total internal reflection occurs on both the surfaces?

Two identical prisms of refractive index $$\sqrt{3}$$ are kept as shown in the figure. A light ray strikes the first prism at face AB. Find
(A) the angle of incidence so that the emergent ray from the first prism has minimum deviation;
(B) through what angle, the prism DCE should be rotated about C so that the final emergent ray also has minimum deviation?

JEE Advanced Subjects
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