A convex mirror has a focal length f. A real object is placed at a distance of $\frac{3 f}{2}$ from the pole. Find out the position of image?

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$\frac{f}{5}$

$\frac{- f}{5}$

$\frac{f}{- 5}$

$\frac{3 f}{5}$

answer is C.

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Detailed Solution

For convex lens f = $+ v e; u = - \frac{3}{2} f$
From mirror equation $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$

$\Rightarrow \frac{1}{v} + \frac{1}{- 3 f / 2} = \frac{1}{f} \Rightarrow V = \frac{3 f}{5}$

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