In standing waves, select incorrect

Options

A. All particle between two consecutive nodes vibrate in same phase
B. Particles on opposite side of a node vibrate in same phase
C. Frequency of oscillation of all particles (except nodes) is same
D. Formation of standing waves is a special type of interference phenomana.

Explanation

To solve the question regarding standing waves and identify the incorrect statement, we will analyze each option step by step.

### Step-by-Step Solution:

1. **Understanding Standing Waves**:
- Standing waves are formed by the interference of two waves traveling in opposite directions with the same frequency and amplitude. They do not propagate through space but create nodes (points of zero amplitude) and antinodes (points of maximum amplitude).

2. **Analyzing Option A**:
- **Statement**: "All particles between two consecutive nodes vibrate in the same phase."
- **Explanation**: In a standing wave, particles between two nodes oscillate together. When one particle moves upward, all particles in that segment also move upward simultaneously. Therefore, this statement is **correct**.

3. **Analyzing Option B**:
- **Statement**: "Particles on opposite sides of the node vibrate in the same phase."
- **Explanation**: For a node, the particles on one side oscillate in one direction (e.g., downward) while particles on the opposite side oscillate in the opposite direction (e.g., upward). Thus, they are not in the same phase. This statement is **incorrect**.

4. **Analyzing Option C**:
- **Statement**: "Frequency of oscillation of all particles is the same."
- **Explanation**: In a standing wave, all particles oscillate at the same frequency, which is a fundamental characteristic of standing waves. This statement is **correct**.

5. **Analyzing Option D**:
- **Statement**: "Formation of standing waves is a special type of interference phenomena."
- **Explanation**: Standing waves are indeed formed due to the interference of two waves, making this statement **correct**.

6. **Conclusion**:
- The incorrect statement is **Option B**: "Particles on opposite sides of the node vibrate in the same phase."

### Summary of the Solution:
- **Correct Options**: A, C, D
- **Incorrect Option**: B