Consider a particle moving with constant speed such that its magnitude of acceleration is constant 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 some arbitrary path.

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It is moving in a circle.

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It is moving in an elliptical path

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Solution

The correct option is C It is moving in a circle.
In a uniform circular motion, the direction 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 is constant and always perpendicular to its velocity, then it must be going in a circular path.

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