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
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a
10cm/sec
b
5cm/sec
c
20cm/sec
d
15cm/sec
answer is C.
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Detailed Solution
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)=2ySo speed of image = 2 x speed of mirror