Question

The magnification produced by a spherical mirror is the ratio of height of ______to the height of ______.

Answer 1

Hint Magnification is the increase in size of an image produced by an optical system compared to the true size. The most commonly considered form of magnification is linear magnification. The formula of magnification in terms of height of object and image is given as:
  $\begin{align}
  & m=\dfrac{hI}{ho} \\
 & m=\dfrac{hI}{ho} \\
\end{align}$
$m=\dfrac{hI}{ho}$
using this formula, we can solve the above question.
Formula Used
$\Rightarrow$ $m=\dfrac{hI}{ho}$

Complete step by step solution magnification is given as:
$\Rightarrow$ $m=\dfrac{height\text{ of image}}{height\text{ of object}}$

Additional information spherical mirrors are the mirrors having curved surfaces that are painted on one of their sides. These are of two type: -
Convex mirrors: - these are painted inward
Concave mirror: - These are painted outward
The Magnification m produced by a spherical mirror can also be defined as ratio of image distance to the object distance
$\Rightarrow$ $m=\dfrac{\vartheta }{\mu }$
As the object is always the principal axis the height of the object positive.
The sign for image height varies according to the image type
The height of virtual images should be taken as positive.
The height of real images should be taken with negativity.

Note Magnification is the process of enlarging the image size produced by spherical mirrors with respect to the object size.
By convention, if the resulting magnification is positive, the image is upright.
If magnification is negative, the image is inverted (upside-down).