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?

It is moving in a straight line.

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It is moving in a circle.

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It is moving in some arbitrary path.

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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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