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An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be

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30 cm away from the mirror

36 cm away from the mirror

30 cm towards the mirror

36 cm towards the mirror

answer is B.

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Detailed Solution

$\frac{1}{f} = \frac{1}{v_{1}} + \frac{1}{u_{1}}$ where $u_{1} = 40 c m$

$\frac{1}{f} = \frac{1}{v_{2}} + \frac{1}{u_{2}}$ where $u_{2} = 20 c m$

Shift $= v_{1} - v_{2}$

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