Look at the graphs (a) to (d) carefully and indicate which of these possibly represents one dimensional motion of a particle

Options

A.
B.
C.
D.

Explanation

To determine which graph represents one-dimensional motion of a particle, we need to analyze the characteristics of each graph provided (a) to (d).

### Step-by-Step Solution:

1. **Understanding One-Dimensional Motion**:
- In one-dimensional motion, a particle moves in a straight line, either in the positive or negative direction along a single axis (e.g., x-axis). The key point is that at any given moment, the particle can only have one velocity in one direction.

2. **Analyzing Graph (a)**:
- This graph is a circular plot on a velocity vs. time graph. At any given time, if the graph shows two different velocities, it contradicts the principle of one-dimensional motion. Therefore, this graph cannot represent one-dimensional motion.

3. **Analyzing Graph (b)**:
- This graph shows a linear relationship between velocity and time, with velocity values remaining consistent at any given time. This indicates that the particle is moving in one direction with a constant velocity. Thus, this graph is a valid representation of one-dimensional motion.

4. **Analyzing Graph (c)**:
- This graph is a speed vs. time graph that dips below the time axis, indicating negative speed. Since speed cannot be negative, this graph is not a valid representation of one-dimensional motion.

5. **Analyzing Graph (d)**:
- This graph shows multiple velocity values at the same time, similar to graph (a). This means that at a specific moment, the particle has two velocities, which is impossible in one-dimensional motion. Hence, this graph is also invalid.

6. **Conclusion**:
- After analyzing all the graphs, we find that only graph (b) represents one-dimensional motion of a particle.

### Final Answer:
The graph that possibly represents one-dimensional motion of a particle is **Graph (b)**.