Embibe Experts Solutions for Chapter: Ray Optics and Optical Instruments, Exercise 1: Karnataka Board-2019

Two lenses of power $+1.5 \mathrm{D}$ and $-0.5 \mathrm{D}$ are kept in contact on their principal axis. What is the effective power of combination?

What is myopia? How to rectify it?

Deduce the relation between $n, u,v, R$ for refraction at a spherical surface, where the symbols have their usual meaning.

For which position of the object, magnification of convex lens is -1 (minus one)?

Draw the ray diagram for formation of image in a simple microscope.

Derive “Lens maker’s” formula.

Arrive at the relation between the focal length and radius of curvature of a spherical concave mirror.

At what angle should a ray of light be incident on the face of an equilateral prism, so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is $1.5$.