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Question

A man runs towards a mirror at a speed +6 m/s. If the mirror is at rest, his image will have a velocity (with respect to man)

A
12 m/s
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B
6 m/s
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C
6 m/s
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D
12 m/s
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Solution

The correct option is D 12 m/s

Given that, man velocity (u)=6 m/s
For a plane mirror,
Object distance = image distance
x=x
Differentiating both sides w.r.t. time,
dxdt=dxdt
u=u=6 m/s
So, object speed = image speed = 6 m/s
Taking rightwards as +ve direction,
velocity of image w.r.t. man is (vi,m)
vi,m=(u)u=2u=12 m/s
Hence, option (d) is the correct answer.

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