Question

give the relationship of magnification with focal length of a spherical mirror

Answer 1

m=magnification,

f=focal length,

v=image distance,

u=object distance ,of a spherical mirror

So,we have :

m = f-v/f = f/f-u.

Hope it will help you....

Answer 2

Suppose a spherical mirror with,

m = magnification, f = focal length, u = object distance, and v = image distance

Then, we have:

$m=-\frac{v}{u}$

And mirror formula is,

$\frac{1}{\mathrm{f}}=\frac{1}{\mathrm{v}}+\frac{1}{\mathrm{u}}$

Or, $\mathrm{v}=\frac{u f}{u-f}$

Therefore, $m=\frac{v}{u}=\frac{f}{u-f}$

Explanation:

A spherical mirror is not completely sphere. It is made by joining two arcs of spherical mirror. There are two types of “spherical mirror”, Converging mirror and diverging mirror. Mirror has a principal axis that is a line from the Centre of the mirror. Center of curvature (C) and a focal length f which is equal to C/2.