A beam of light converges towards a point O, behind a convex mirror of focal length 20 cm. Find the magnification and nature of the image when point O is 30 cm behind the mirror.

Foundation

Physics Foundation

Reflection from spherical mirror

Question

2 (virtual, inverted)

3, (virtual, enlarged)

3 (real, inverted)

+1 (real, enlarged)

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U = 30; F = 20

$\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$

$\frac{1}{v} + \frac{1}{30} = \frac{1}{20}$

v = 60

Image is virtual (v > o)

Magnification is $- \frac{v}{u} = - \frac{60}{30} = - 2 (< 0)$ hence it is inverted.