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Question

An object is placed at a distance of $20 c m$ from a convex mirror of focal length $30 c m$ . Find its magnification.
$1.66$
$1.5$
$0.6$
None

A

1.5

B

0.6

C

None

D

1.66

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Solution

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We know, $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$
$\frac{1}{v} + \frac{1}{- 20 c m} = \frac{1}{30 c m}$
$\frac{1}{v} = \frac{1}{30} + \frac{1}{20}$
$\frac{2 + 3}{60} = \frac{1}{v}$
$v = 12 c m$
Therefore, magnification, $m = \frac{- v}{u}$
$= \frac{- 12}{- 20} = 0.6 c m$

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