Mirror Formula

An object is placed $12 \mathrm{cm}$ from a concave mirror which forms its real image at a distance $18 \mathrm{cm}$. Calculate the focal length of the mirror.

Write mirror formula and explain the terms involved.

Write a relation between object distance $u$, image distance $v$ and focal length $f$ of a mirror.

The radius of curvature of a convex mirror used on a moving automobile is $2.0 \mathrm{m}$. A truck is coming behind it at a constant distance of $3.5 \mathrm{m}$. Calculate the position, magnification and nature of the image.

An object is placed $15 \mathrm{cm}$ away from a convex mirror of focal length $45 \mathrm{cm}$. Calculate the position of the image and its magnification.

The radius of curvature of a convex mirror is $20 \mathrm{cm}$. The size of the image formed is half to the size of the object. Find the distances of the object and image.

An object is placed $20.0 \mathrm{cm}$ in front of a concave mirror of focal length $15.0 \mathrm{cm}$. Find the distance and nature of the image formed?

A concave mirror of focal length $20 \mathrm{cm}$ forms a real, inverted image of same size as that of object. Where is the object placed with respect to the mirror? Draw a diagram to show the image.

Find the position of an object which when placed in front of a concave mirror of focal length $20 \mathrm{cm}$ produces a virtual image, which is twice the size of the object.