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  4. A convex mirror of focal length f forms an image which is (1/n) times the object. The distance of the object from the mirror is

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Q. A convex mirror of focal length $f$ forms an image which is $\frac{1}{n}$ times the object. The distance of the object from the mirror is

Ray Optics and Optical Instruments

Solution:

$m=+\frac{1}{n}=-\frac{v}{u} \Rightarrow v=-\frac{u}{n}$
By using mirror formula $\frac{1}{f}=\frac{1}{-\frac{u}{n}}+\frac{1}{u}$
$\Rightarrow u=-(n-1) f$