With the help of neat ray diagrams show the path of reflected ray formed on reflection from a spherical mirror, when

(i) Incident ray passes through (or directed towards) the principal focus of mirror.

With the help of neat ray diagrams show the path of reflected ray formed on reflection from a spherical mirror, when

(ii) Incident ray passes through (or directed towards) the centre of curvature of the mirror.

Draw a ray diagram to show the complete path of the light ray that travels through a rectangular glass slab.

Draw ray diagrams to show the formation of a three times magnified ($\mathrm{i}$) real image ($\mathrm{ii}$) virtual image of an object kept in front of a converging lens, mark the positions of object,$\mathrm{F}, 2\mathrm{F}, \mathrm{O}$ and position of image clearly in the diagram.

A $2 \mathrm{cm}$ high candle flame is placed at a distance of $80 \mathrm{cm}$ from a white screen. On placing a convex lens exactly at the midpoint of the candle and the screen, a distinct image of the flame is seen on the screen. What is the focal length of the lens and the size of the candle flame image formed? 

An object $2 \mathrm{cm}$ high is placed at a distance of $64 \mathrm{cm}$ from a white screen. On placing a convex lens at a distance of $32 \mathrm{cm}$ from the object it is found that a distinct image of the object is formed on the screen. What is the focal length of the convex lens and size of the image formed on the screen? Draw a ray diagram to show the formation of the image in this position of the object with respect to the lens.

Give the various rules for obtaining images formed by a concave mirror.

Explain the different types of images formed by a concave mirror. Also give the characteristics of the image in each case.

Discuss the refraction through a rectangular glass slab and show that the emergent ray is parallel to the incident ray but laterally displaced. How does lateral displacement depend on the thickness of the glass slab?