First slide

Spherical/Curved mirrors

Question

The relation between the linear magnification m, the object distance u and the focal length f for a spherical mirror is

Moderate

A

$m = \frac{f - u}{f}$
B

$m = \frac{f}{f - u}$
C

$m = \frac{f + u}{f}$
D

$m = \frac{f}{f + u}$

Solution

$∵ m = - \frac{v}{u} also \frac{1}{f} = \frac{1}{v} + \frac{1}{u} \Rightarrow \frac{u}{f} = \frac{u}{v} + 1 \Rightarrow - \frac{u}{v} = 1 - \frac{u}{f} \Rightarrow \frac{- v}{u} = \frac{f}{f - u} so m = \frac{f}{f - u}$

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