Embibe Experts Solutions for Chapter: Geometrical Optics, Exercise 1: Exercise 1

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 flint glass prism and a crown glass prism are to be combined in such a way that the deviation of the mean ray is zero. The refractive index of flint and crown glasses for the mean ray are $1.6$ and $1.9$, respectively. If the refracting angle of the flint prism is $6°$, what would be the refracting angle of crown prism?

A plane mirror is moving with velocity $4\hat{\mathrm{i}}+5\hat{\mathrm{j}}+8\hat{\mathrm{k}}$. A point object in front of the mirror moves with a velocity $3\hat{\mathrm{i}}+4\hat{\mathrm{j}}+5\hat{\mathrm{k}}$. Here $\hat{\mathrm{k}}$ is along the normal to the plane mirror and facing towards the object. The velocity of the image is:

Alight wave travels from glass to water. The refractive index for glass and water are $\frac{3}{2}$ and $\frac{4}{3}$, respectively. The value of the critical angle will be

When a beam of light goes from denser medium $\left({\mu }_d\right)$ to rarer medium $\left({\mu }_r\right)$, then it is generally observed that magnitude of angle of incidence is half that of angle of refraction. Then magnitude of incident angle will be (here $\mu =\frac{{\mu }_d}{{\mu }_r}$)

The image for the converging beam after refraction through the curved surface is formed at

A thin linear object of size $1 \mathrm{mm}$ is kept along the principal axis of a convex lens of focal length $10 \mathrm{cm}$. The object is at $15 \mathrm{cm}$ from the lens. The length of the image is

A convex lens is cut into two parts in different ways that are arranged in four manners, as shown. Which arrangement will give maximum optical power?