An object is placed at 20 cm from a convex mirror of focal length 20 cm, The distance of the image from the pole of the mirror is :

15 cm

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10 cm

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40 cm

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Infinity

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Solution

The correct option is B 10 cm
Given, $f = 20 c m, u = - 20 c m, v = ?$

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

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

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

$\frac{1}{v} = \frac{2}{20}$

$v = 10 c m$

So, the distance of the image from the pole of the mirror is $10 c m .$

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An object is placed at a distance of 20 cm from a convex mirror of a focal length of 15 cm. Find the position and nature of the image.

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