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Image Formation by Spherical Mirrors

The expressio...

Question

The expression for the magnification of a spherical mirror in terms of focal length (f) and the distance of the object from mirror (u) is :

f /(u-f)

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f/ (u+f)

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-f/ (u-f)

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-f/ (u+f)

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Solution

The correct option is
D

- f /(u-f)

Magnification, m = - v/u

Mirror formula is 1/f = 1/v + 1/u

or, 1/v = 1/f - 1/u

or, v = uf / (u -f)

Therefore, m = - v/u = - f / u-f

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