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

10 cm/sec

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5 cm/sec

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20 cm/sec

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15 cm/sec

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Solution

The correct option is C 20 cm/sec
Suppose at any instant, plane mirror lies at a distance x from object. 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 =x + y -(x-y) =2y So speed of image = 2 ´ speed of mirror

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