Why is there a difference between the magnification formulas of a mirror and lens?


In mirrors the image is virtual, and for virtual images, the image distance is taken as negative. Whereas in lenses the images produced are real and for real images, the image distance is taken as positive.

Therefore,

Lens: For lens, the linear magnification produced is the ratio of the image distance to the object distance.

$M = \frac{+ Image \ distance }{ object \ distance} = \frac{v}{u}$

Mirror: For mirrors, the linear magnification produced is the ratio of the -image distance to the object distance.

$M = \frac{- Image \ distance }{ object \ distance} = \frac{-v}{u}$


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Updated on: 10-Oct-2022

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