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The relation between the linear magnification m, the object distance u and the focal length of a concave mirror is

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

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

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

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

answer is B.

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Detailed Solution

$∵ m = - \frac{v}{u}; \frac{1}{f} = \frac{1}{v} + \frac{1}{u} \Rightarrow \frac{u}{f} = \frac{u}{v} + 1 \Rightarrow - \frac{u}{v} = 1 - \frac{u}{f} \Rightarrow \frac{- v}{u} = \frac{f}{f - u} \Rightarrow m = \frac{f}{f - u} .$

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