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Question

# If an object moves towards a plane mirror with a speed v at an angle θ to the perpendicular to the plane of the mirror, find the relative velocity between the object and the image.

A
v
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B
2v
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C
2vcosθ
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D
2vsinθ
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Solution

## The correct option is C 2vcosθThe correct option is CGiven,velocity=vangle=θThe image will move towards the plane mirror with - v velocity . The - sign indicates that the image moves in opposite direction of the object. Well, if you ask the velocity of object relative to the object then it would be - 2v. It means that the object would experience that the image is moving towards it with velocity 2v. Since the object is moving horizontal direction so the component of the velocity is 2vcosθ

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