A particle moves in a circular path with a uniform speed. Its motion is

Options

A. periodic
B. oscillatory
C. simple harmonic
D. angular simple harmonic

Answer

To solve the question "A particle moves in a circular path with a uniform speed. Its motion is:", we will analyze the options provided and determine the correct classification of the motion.

### Step-by-Step Solution:

1. **Understanding Circular Motion**:
- A particle moving in a circular path with uniform speed means that the particle travels along a circular trajectory at a constant speed. This implies that while the speed (magnitude of velocity) remains constant, the direction of the velocity vector is continuously changing.

2. **Identifying Periodic Motion**:
- Periodic motion is defined as motion that repeats itself after a fixed interval of time. In this case, since the particle returns to the same position on the circular path after a certain time period (let's denote it as T), the motion is periodic.

3. **Differentiating from Oscillatory Motion**:
- Oscillatory motion involves movement back and forth around a central point or equilibrium position. In this scenario, the particle does not move back and forth around a fixed point; instead, it continuously moves along the circular path. Therefore, it is not oscillatory motion.

4. **Evaluating Simple Harmonic Motion (SHM)**:
- Simple harmonic motion is a specific type of oscillatory motion characterized by a restoring force proportional to the displacement from an equilibrium position. Since the particle in circular motion does not exhibit this back-and-forth behavior, it cannot be classified as simple harmonic motion.

5. **Considering Angular Simple Harmonic Motion**:
- Angular simple harmonic motion refers to rotational motion that behaves like simple harmonic motion. However, since the motion is not oscillatory, it also cannot be classified as angular simple harmonic motion.

6. **Conclusion**:
- Based on the analysis, the only correct classification of the motion of the particle is that it is periodic. Therefore, the answer is option one: **Periodic**.

### Final Answer:
The motion of a particle moving in a circular path with uniform speed is **Periodic**.

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