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 after one complete revolution along a circular path of radius \( R \), we can follow these steps:

### Step 1: Understand the Circular Motion
A particle moving in a circular path will return to its starting point after one complete revolution.

### Step 2: Calculate 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:

\[ C = 2\pi R \]

where \( R \) is the radius of the circle.

### Step 3: Calculate the Displacement
Displacement is defined as the shortest distance between the initial and final positions of the particle. Since the particle returns to its starting point after one complete revolution, the initial and final positions are the same.

Thus, the displacement \( D \) is:

\[ D = 0 \]

### Final Results
- **Distance traveled after one complete revolution**: \( 2\pi R \)
- **Displacement after one complete revolution**: \( 0 \)