B M Sharma Solutions for Chapter: Ray Optics, Exercise 1: DPP

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,

The graph between $u$ and $v$ for a convex mirror is

A convergent beam of light is incident on a convex mirror to converge to a distance $12 \mathrm{cm}$ from the pole of the mirror. An inverted image of the same size is formed, coincident with the virtual object. What is the focal length of the mirror?

A thin rod of $5 \mathrm{cm}$ length is kept along the axis of a concave mirror of $10 \mathrm{cm}$ focal length such that its image is real and magnified and one end touches the rod. Its magnification will be

A square of side $3 \mathrm{cm}$ is placed at a distance of $25 \mathrm{cm}$ from a concave mirror of focal length $10 \mathrm{cm}$. The centre of the square is at the axis of the mirror, and the plane is normal to the axis. The area enclosed by the image of the square is

A small piece of wire bent into an $L$ shape with upright and horizontal portions of equal lengths is placed with the horizontal portion along the axis of the concave mirror whose radius of curvature is $10 \mathrm{cm}$. If the bend is $20 \mathrm{cm}$ from the pole of the mirror, then the ratio of the lengths of the images of the upright and horizontal portions of the wire is

A particle is moving towards a fixed convex mirror of focal length $F$. The image also moves. If $V_i$ is equal to the speed of image and $V_o$ is equal to the speed of the object, then

The positions of the object $O$ (real or virtual) and the image $I$ (real or virtual) with respect to the optical axis of a spherical mirror are shown. Then select the possible mirror and its position to realise it.