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Question

A particle is acted upon by a constant force, the magnitude of which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. Which of the following can be true for the particle?

A
Its velocity is changes.
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B
Its magnitude of acceleration is constant
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C
Its speed remains same and it is in circular motion
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D
(b) and (c) above.
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Solution

The correct option is D (b) and (c) above.
As the direction of force is always perpendicular to the velocity, the particle is moving in a circular path.
Hence, the velocity of the particle will not be constant as its direction is changing continuously, but the speed will remain same.
If the particle is moving in a circular path, its magnitude of acceleration will be constant but direction will change.

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