In a stationary wave all the particles

Options

A. on either side of a node vibrate in the same phase
B. in the region between two nodes vibrate in the same phase
C. in the region between two antinodes vibrate in the same phase
D. of the medium vibrate in the same phase

Answer

To solve the question regarding stationary waves and the behavior of particles, we can break it down into steps:

### Step-by-Step Solution:

1. **Understanding Stationary Waves**:
- A stationary wave is formed by the superposition of two waves traveling in opposite directions. It consists of nodes (points of no displacement) and antinodes (points of maximum displacement).

2. **Identifying Nodes and Antinodes**:
- In a stationary wave, nodes are points where the amplitude is always zero, while antinodes are points where the amplitude reaches its maximum.

3. **Behavior of Particles**:
- The particles in the medium between two consecutive nodes vibrate. Importantly, all particles in this region vibrate in the same phase. This means that if one particle is at its maximum displacement (an antinode), the other particles in that segment will also be at their maximum displacement at the same time.

4. **Conclusion**:
- Therefore, in a stationary wave, all particles between two nodes vibrate in the same phase.

### Final Answer:
In a stationary wave, all the particles between two nodes vibrate in the same phase.

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