The location of a particale is changed. What can we say about the displacement and distance coverd by the particle?

Options

A. Both cannot be zero
B. One of the two may be zero
C. Both must be zero
D. Both must be equal

Explanation

To analyze the change in location of a particle and understand the concepts of displacement and distance, we can break down the solution into the following steps:

### Step-by-Step Solution:

1. **Understanding the Definitions**:
- **Distance**: It is the total length of the path traveled by the particle, irrespective of the direction.
- **Displacement**: It is the shortest straight line distance from the initial position to the final position of the particle, along with the direction.

2. **Consider the Initial and Final Positions**:
- Let’s denote the initial position of the particle as point A and the final position as point B.

3. **Path Traveled**:
- When the particle moves from point A to point B, it covers a certain distance. This distance can be represented as the length of the path taken by the particle.

4. **Calculating Distance**:
- The distance covered by the particle is always a positive value and is equal to the actual path length traveled from A to B.

5. **Calculating Displacement**:
- The displacement is calculated as the straight line distance from point A to point B. This value can be zero only if the particle returns to its original position (i.e., A = B).

6. **Conclusion**:
- If the location of the particle changes (i.e., it moves from A to B), then:
- The distance covered is greater than zero.
- The displacement is also greater than zero unless the particle returns to its original position.
- Therefore, both distance and displacement cannot be zero if the particle has changed its location.

### Final Statement:
In conclusion, when the location of a particle is changed, both the distance covered and the displacement cannot be zero.

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