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In circular motion of a particle with constant speed, particle repeats its motion after a regular interval of time but does not oscillate about a fixed point. So, motion of particle is periodic but not simple harmonic.

1. In circular motion of a particle with constant speed, particle repeats its motion after a regular interval of time but does not oscillate about a fixed point. So, motion of particle is periodic but not simple harmonic.
2. The force acting on a particle is always perpendicular to the velocity of the particle, then the path of the particle is a circle. The centripetal force (F) is always perpendicular to the velocity of the particle, i.e., F ⊥ v.
3. The net acceleration (a_net) is directed along the radius towards the centre.
4. The centripetal acceleration (a_c) is given by a_c = ω²r.

Correct answer: In circular motion of a particle with constant speed, particle repeats its motion after a regular interval of time but does not oscillate about a fixed point. So, motion of particle is periodic but not simple harmonic.

Solution

The statement in option A correctly describes the nature of circular motion with constant speed. The motion is periodic because it repeats after a fixed interval, but it is not simple harmonic as there is no oscillation about a fixed point.

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