Exercise 1

When an object is placed at a distance of $60cm$ From a convex mirror, the linear magnification produced is $\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.$. Where should the object be placed to obtain a magnification of $\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$ ?

An equilateral glass prism has a refractive index $1.6$ in the air. Calculate the angle of minimum deviation of the prism, when kept in a medium of refractive index $\frac{4\sqrt{2}}{5}$.

A passenger in an aeroplane shall

 Under what conditions is the phenomenon of total internal reflection of light observed? Obtain the relation between the critical angle of incidence and the refractive index of the medium.

The figure shows a ray of light falling normally on the face AB of an equilateral glass prism having a refractive index $3/2$, placed in water of refractive index $4/3$ . Will this ray suffer total internal reflection on striking the face AC? Justify your answer.

A ray of light on passing through an equilateral glass prism, suffers a minimum deviation equal to the angle of the prism. The value of refractive index of the material of the prism is _____.

Calculate the average velocity of the image object is placed in front of a convex mirror at a distance of $60 \mathrm{m}$ for a time interval of $2 \sec$ from its pole when the object starts moving towards the mirror at $20 \mathrm{m} {\mathrm{s}}^{-1}$. It is given that the focal length of the mirror is $20 \mathrm{m}$ .

Derive the mirror equation for convex mirror.