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Question

Consider a particle moving with constant speed such that magnitude of its acceleration is constant in magnitude and always perpendicular to its velocity. What can you say about its motion?

A
It is moving in a straight line.
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B
It is moving in a circle.
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C
It is moving in some arbitrary path.
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D
It is at rest.
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Solution

The correct option is B It is moving in a circle.
In a uniform circular motion, the magnitude of the acceleration is constant and always perpendicular to the direction of the velocity. Also, the speed is constant. Hence, if a particle is moving with constant speed such that its acceleration with constant magnitude will be always perpendicular to its velocity, then it must be going in a circular path.

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