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A person applies a constant force $\vec{F}$ on a particle of mass m and finds that the particle moves in a circle of radius r with a uniform speed v as seen from an inertial frame of reference.

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This is not possible

There are no other forces on the particle

The resultant of the other forces is $\frac{m v^{2}}{r}$ towards the center

The resultant of the other forces varies in magnitude as well as in direction

answer is B.

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Detailed Solution

Centripetal force acting on the particle is given by $F = \frac{m v^{2}}{r}$

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