As the position of an object $u$ reflected from a concave mirror is varied, the position of the image $v$ also varies. By letting $u$ change from $0$ to $+\infty$, the graph between $v$ versus $u$ will be,

A cube of side $2 \mathrm{m}$ is placed in front of a concave mirror focal length $1 \mathrm{m}$ with its face $P$ at a distance of $3 \mathrm{m}$ and face $Q$ at a distance of $5 \mathrm{m}$ from the mirror. The distance between the images of the face $P$ and $Q$ and height of images of $P$ and $Q$ are
 

$AB$ is an incident beam of light and $CD$ is a reflected beam (the number of reflections for this may be one or more than one) of light. $AB$ and $CD$ are separated by some distance (maybe large). It is possible by placing what type of mirror on the right side?

A point object is moving along the principal axis of a concave mirror with uniform velocity towards the pole. Initially, the object is at infinite distance from pole on right side of the mirror as shown. Before the object collides with the mirror, how many times the distance between the object and its image is $40 \mathrm{cm}$?