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A point object approaches a plane mirror with a velocity $12 c m / s$ along a direction making $30^{\circ}$ to the normal of the mirror. The velocity of the image with respect to the object will be:

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$24 c m / s$

$12 \sqrt{3} c m / s$

$12 c m / s$

$18 c m / s$

answer is D.

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Detailed Solution

Velocity of object normal to the mirror is $v_{n} = 12 \cos 30^{\circ}$
$= 6 \sqrt{3} m / s$

Question Image

Velocity of image normal to the mirror is $v_{n} = 12 \cos 30^{\circ}$ $= 6 \sqrt{3} c m / s$

velocity of image with respect to the object $= 12 \sqrt{3} c m / s$

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