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Magnification

A point objec...

Question

A point object is placed at a distance of 30 cm from a convex mirror of focal length 30 cm. The image will form at
(a) infinity
(b) pole
(c) focus
(d) 15 cm behind the mirror.

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Solution

(d) 15 cm behind the mirror

Since u = − 30 cm
v = ?
f = 30 cm

From the mirror formula:
$\frac{1}{u} + \frac{1}{v} = \frac{1}{f} or \frac{1}{v} = \frac{1}{f} - \frac{1}{u} \Rightarrow \frac{1}{v} = \frac{1}{30} - \frac{1}{- 30} \frac{1}{v} = \frac{1}{30} + \frac{1}{30} \frac{1}{v} = \frac{2}{30} ∴ v = 15 cm$

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