Question

Define linear magnification produced by a mirror.

Answer 1

Hint: When an image of an object is formed after reflection in a mirror, the size of the image changes from the size of the object depending on the position of the object in front of the mirror. We can find this change in size using the laws of reflection in a mirror.

Complete step by step answer:
A mirror is a glass coated with some reflecting material, which is the incoming light beam. It can be a plane mirror or a spherical mirror. Laws of reflection are the same for both types of mirrors.
The mirror equation gives the relation between the object distance, the image distance and the focal length of the mirror.
$\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}$
This equation is called the mirror equation where,
u is the distance of the object; v is the distance of the image and f is the focal length of the mirror.
The linear magnification of a mirror can be defined as the ratio of the height of the image to the height of the object.
$m=\dfrac{{{h}'}}{h}$
Where, m is the magnification, $h$ is the height of the object and ${h}'$is the height of the image formed.
Again, with sign convention we can write,
$\dfrac{-{h}'}{h}=\dfrac{-v}{-u}$
So, we can write
$m=\dfrac{{{h}'}}{h}=-\dfrac{v}{u}$
Linear magnification tells us how bigger or smaller the image formed will be compared to that of the image.

Additional information:
For plane mirrors the focal length is always infinite. Only for a spherical mirror we can find a finite focal length.

Note:
The formula for magnification for mirror and lens will be different.
For lens it will be,
$m=\dfrac{{{h}'}}{h}=\dfrac{v}{u}$