Statement-1 : In the case of a stationary wave, a person hear a loud sound at the nodes as compared to the antinodes
Statement-2 : In a stationary wave all the particles of the medium vibrate in phase.

Options

A. Statement-1 is true, Statement-2 is true , Statement-2 is correct explanation for Statement-14
B. Statement-1 is true,Statement-2 is true , Statement-2 is NOT a correct explanation for Statement-14
C. Statement-1 is true, Statement-2 is false
D. Statement-1 is false, Statement-2 is true

Answer

To analyze the given statements, we will break down each statement and evaluate its validity based on the principles of stationary waves.

### Step-by-Step Solution:

1. **Understanding Statement 1**:
- The first statement claims that in the case of a stationary wave, a person hears a loud sound at the nodes compared to the antinodes.
- In a stationary wave, nodes are points where there is no displacement of the medium, while antinodes are points where the displacement is maximum.
- At the nodes, the pressure is high due to compression of the medium, while at the antinodes, the pressure is low due to rarefaction.
- Since sound is a pressure wave, higher pressure at the nodes results in louder sound.
- **Conclusion**: Statement 1 is **True**.

2. **Understanding Statement 2**:
- The second statement asserts that in a stationary wave, all particles of the medium vibrate in phase.
- "In phase" means that all particles move in the same direction at the same time.
- In a stationary wave, particles at the nodes do not move (zero displacement), while particles at the antinodes reach maximum displacement in opposite directions.
- For example, if one particle moves upward, its adjacent particle may move downward, indicating they are not in phase.
- Therefore, not all particles vibrate in the same direction at the same time.
- **Conclusion**: Statement 2 is **False**.

3. **Final Evaluation**:
- Since Statement 1 is true and Statement 2 is false, the overall conclusion is that Statement 1 is correct while Statement 2 is incorrect.

### Final Answer:
- Statement 1 is True.
- Statement 2 is False.

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