A particle is moving in a circle with a constant speed. Its moving is

Options

A. Periodic
B. Oscillatory
C. Simple harmonic
D. both 'a' and 'b'

Answer

To solve the question regarding the motion of a particle moving in a circle with a constant speed, we can break down the analysis step by step.

### Step 1: Understanding Circular Motion
A particle moving in a circle with a constant speed is undergoing uniform circular motion. In this type of motion, while the speed (magnitude of velocity) remains constant, the direction of the velocity vector changes continuously.

**Hint:** Remember that in circular motion, the direction of velocity changes even if its magnitude remains constant.

### Step 2: Identifying the Nature of Motion
The motion of the particle is periodic because it returns to the same position after a fixed interval of time, known as the time period. This means that the particle will repeat its path indefinitely.

**Hint:** A motion is periodic if it repeats itself after a certain interval of time.

### Step 3: Distinguishing Between Periodic and Oscillatory Motion
While the motion is periodic, it is not oscillatory. Oscillatory motion requires a defined equilibrium position where the particle moves back and forth around that point. In circular motion, there is no single equilibrium position; all points on the circle are equivalent in terms of energy.

**Hint:** Oscillatory motion involves a restoring force towards an equilibrium position, which is not present in uniform circular motion.

### Step 4: Evaluating Simple Harmonic Motion (SHM)
Simple harmonic motion is a specific type of oscillatory motion where the acceleration is always directed towards a mean position (equilibrium) and is proportional to the displacement from that position. In circular motion, the acceleration (centripetal) is directed towards the center of the circle, not towards a mean position along a linear path.

**Hint:** In SHM, the acceleration must always point towards a mean position, which is not the case in circular motion.

### Conclusion
Thus, the correct classification of the motion of a particle moving in a circle with a constant speed is that it is periodic. It is not oscillatory, simple harmonic, or both.

**Final Answer:** The motion of the particle is periodic.