A plane mirror is approaching you at a speed of 10 cm/s and you can see your image in it. At what speed will the image approach you?

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20 cm/s

5 cm/s

10 cm/s

15 cm/s

answer is C.

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Detailed Solution

Suppose at any instant the plane mirror lies at a distance X from the object. The image will be formed behind the mirror at the same distance X, when the mirror shifts towards the object by distance Y The image shifts by the distance of 2Y.

Speed = Distance /Time

So, the speed of the image with respect to the object= 2 x speed of the mirror.

Speed of the image= 2 x 10 = 20 cm/s

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