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.

Answer

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. They appear to be stationary, with certain points (nodes) where there is no movement and others (antinodes) where the maximum movement occurs.

**Hint**: Remember that standing waves result from the superposition of two waves traveling in opposite directions.

2. **Analyzing Statement 1**:
- "All particles between two consecutive nodes vibrate in the same phase."
- This statement is **correct** because all particles between two nodes move in the same direction at the same time, indicating they are in phase.

**Hint**: Consider how particles behave between nodes in terms of their movement direction and timing.

3. **Analyzing Statement 2**:
- "Particles on the opposite side of a node vibrate in the same phase."
- This statement is **incorrect**. Particles on opposite sides of a node are in opposite phases; when one particle moves up, the other moves down.

**Hint**: Think about the relationship between the phases of particles located on either side of a node.

4. **Analyzing Statement 3**:
- "Frequency of oscillation of all particles except the nodes is the same."
- This statement is **correct**. For standing waves to form, the frequencies of the interfering waves must be the same, leading to all particles oscillating at the same frequency.

**Hint**: Recall that the formation of standing waves requires the two interfering waves to have the same frequency.

5. **Analyzing Statement 4**:
- "Formation of standing waves is a special type of interference phenomena."
- This statement is **correct**. Standing waves are indeed a result of interference, specifically constructive and destructive interference.

**Hint**: Consider the definition of interference and how it applies to the creation of standing waves.

### Conclusion:
The incorrect statement among the options provided is Statement 2: "Particles on the opposite side of a node vibrate in the same phase."