A particle moves along a circular path of radius R. The distance and displacement of a particle after one completer revolution is

Options

A. `0, 2 pi r`
B. `2 pi r, 0`
C. `0, pi r`
D. `pi r, 0`

Answer

To solve the problem of finding the distance and displacement of a particle moving along a circular path of radius R after one complete revolution, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Circular Motion**:
- A particle moves along a circular path with a radius R. When it completes one full revolution, it returns to its starting point.

2. **Calculating the Distance**:
- The distance traveled by the particle in one complete revolution is equal to the circumference of the circle.
- The formula for the circumference (C) of a circle is given by:
\[ C = 2\pi R \]
- Therefore, the distance traveled after one complete revolution is:
\[ \text{Distance} = 2\pi R \]

3. **Calculating the Displacement**:
- Displacement is defined as the shortest distance from the initial position to the final position.
- Since the particle returns to its starting point after one complete revolution, the initial and final positions are the same.
- Therefore, the displacement is:
\[ \text{Displacement} = \text{Final Position} - \text{Initial Position} = 0 \]

4. **Final Results**:
- After one complete revolution, the distance traveled by the particle is \(2\pi R\) and the displacement is \(0\).

### Summary:
- **Distance**: \(2\pi R\)
- **Displacement**: \(0\)