Image Formation by Spherical Mirrors

A thin road of length d/3 is placed along the principal axis of a concave mirror of focal length = d such that its image, which is real and elongated, just touches the rod. Find the length of the image?

An object of length $4 \mathrm{cm}$ is kept on the principal axis of a convex mirror at a distance of $f$. The size of the image formed is $2\mathrm{cm}$.

What can be the largest distance ( in centimetres) of an image of a real object from a convex mirror of radius of curvature $20 \mathrm{c}\mathrm{m}$?

The relation between magnification $\mathrm{m}$, the object distance $u$ and focal length $f$ of the mirror is

A virtual and same size image as object can be obtained by-

An object is placed at a distance of $20 \mathrm{cm}$ form a convex mirror of radius $10 \mathrm{cm}$. The height of the object is $10 \mathrm{cm}$. What is the height of the image in centimeters?

What can be the largest distance ( in centimetres) of an image of a real object from a convex mirror of radius of curvature $20 \mathrm{c}\mathrm{m}$?

(The answer should contain only magnitude of distance)

Explain formation of images by convex and concave mirrors for different object position. Show the size, position and nature of image by ray diagrams.

Only paraxial rays are considered for the formation of image in spherical mirrors because-

If $A^{\text{'}}{B}^{\text{'}}$ is the final image formed, $A^{\text{'}}$ corresponding to $A$ and $B^{\text{'}}$ corresponding to $B$, find the distance of $B^{\text{'}}$ below optics axis of lens. Find the distance of $A^{\text{'}}$ below the optic axis of lens.

The magnification of an object is $3$ for a concave mirror when an object placed at a distance of $20 \mathrm{cm}$ from it. For the image to be real, the focal length should be

Which mirror is required for an object $2 \mathrm{cm}$ tall which  is to be placed at distance of $5 \mathrm{cm}$ in front of a mirror.,In order to produce an upright image of $4 \mathrm{cm}$ height.

The ratio of the areas of two regions of the curve $C_1\equiv 4x^2+{\pi }^2{y}^2=4{\pi }^2$ divided by the curve $C_2\equiv y=-\left(\mathrm{sgn}(x-\frac{\pi }{2})\right)\cos x$ (where $\mathrm{sgn}\left(x\right)=signum\left(x\right)$ is

A concave shaving mirror has a radius of curvature of $35.0 \mathrm{c}\mathrm{m}$. It is positioned so that the (upright) image of a man's face is $2.50$ times the size of the face. How far is the mirror from the face?

A thin rod of length $\frac{f}{3}$ is placed along the optic axis of a concave mirror of focal length $f,$ such that its image which is real and elongated just touches the rod, the magnification is

A square wire of side 2.0cm is placed 20cm in front of a concave mirror of focal length 10cm with its centre on the axis of the mirror and its plane normal to the axis. The area enclosed by the image of wire is

An object is placed at 20 cm in front of a concave mirror produces three times magnified real image. What is the focal length of the concave mirror?

Select the correct alternative (s): The image of a finite object kept perpendicular to the principle axis of a spherical mirror will be erect in case of:

A convex mirror is producing the image of a real object. Tick thee wrong statement (s).

A mirror producing a virtual image smaller than the object is: