Embibe Experts Solutions for Chapter: Ray Optics, Exercise 3: Level 3

A man is sitting in a room at $2 \mathrm{m}$ from a wall $W_1$ wants to see the full height of the wall $W_2$ behind him $4 \mathrm{m}$ high and $6 \mathrm{m}$ away from the facing wall $W_1$. What is the minimum vertical length of mirror on the facing wall required for the purpose?

A convex mirror of focal length $f$ forms an image which is $\frac{1}{n}$ times the object. The distance of the object from the mirror is

A car is moving with at a constant speed of $60 \mathrm{km} {\mathrm{h}}^{-1}$ on a straight road. Looking at the rear view mirror, the driver finds that the car following him is at a distance of $100 \mathrm{m}$ and is approaching with a speed of $5 \mathrm{km} {\mathrm{h}}^{-1}$.

In order to keep track of the car in the rear, the driver begins to glance alternatively at the rear and side mirror of his car after every$2 \mathrm{s}$ till the other car overtakes. If the two cars were maintaining their speeds, which of the following statement (s) is/are correct?

A refractive index of material of a prism is $2$. What is the maximum possible refraction angle of the prism, so that light emerges from the prism

A ray of light incident on a glass sphere (refractive index $\sqrt{3}$) suffers total internal reflection before emerging but exactly parallel to the incident ray. The angle of incidence was

Refractive index of a prism is $\sqrt{\frac{7}{3}}$ and the angle of prism is $60°$. The minimum angle of incidence of a ray that will be transmitted through the prism is:

A luminous object is separated from a screen by distance $d$. A convex lens is placed between the object and the screen such that it forms a distinct image on the screen. The maximum possible focal length of this convex lens is

If tube length of astronomical telescope is $105 \mathrm{cm}$ and magnifying power is $20$ for normal setting, calculate the focal length of objective.