A man moves towards a plane mirror with a velocity v in a direction making an angle θ with the normal to the mirror. The magnitude of velocity of the image relative to man normal to the mirror will be :
A
2v
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B
2vsinθ
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C
2vsinθ
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D
2vcosθ
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Solution
The correct option is D2vcosθ The velocity of the man perpendicular to the mirror is given as Vcosθ The image also approaches with the same velocity towards the man. Thus the relative velocity is given as Vcosθ−(−Vcosθ)=2Vcosθ.