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Q. A man has a concave shaving mirror or focal length $0.2 \,m$. How far should the mirror be held from his face in order to give an image of two fold magnification?

Ray Optics and Optical Instruments

Solution:

As, $m =\frac{f}{f-u}$
$\Rightarrow 2=\frac{-0.2}{-0.2-u}$
or $2=\frac{0.2}{0.2+u}$
or $0.4+2 u=0.2$
Or $2 u=0.2-0.4=-0.2$
Or $u=-0.1 \,m$