Motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is an example to

Options

A. Transverse
B. Longitudinal
C. both transverse and longitudinal
D. Rectilinear movement

Answer

To solve the question regarding the motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways, we need to analyze the nature of the wave produced and the direction of particle motion relative to wave propagation.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- A longitudinal spring is a spring that can be compressed or stretched. When one end of the spring is displaced sideways, it creates a disturbance in the spring.

2. **Identifying the Type of Wave**:
- In wave mechanics, there are two primary types of waves: transverse waves and longitudinal waves.
- In a transverse wave, the motion of the particles is perpendicular to the direction of wave propagation.
- In a longitudinal wave, the motion of the particles is parallel to the direction of wave propagation.

3. **Analyzing the Motion of the Kink**:
- When the end of the spring is displaced sideways, the particles of the spring (or the kinks) move up and down (or side to side) while the wave itself travels along the length of the spring.
- This means that the direction of the particle motion (up and down) is at right angles to the direction in which the wave travels (along the length of the spring).

4. **Conclusion**:
- Since the motion of the kinks in the spring is perpendicular to the direction of wave propagation, this scenario exemplifies a transverse wave.
- Therefore, the correct answer to the question is that the motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is an example of a **transverse wave**.

### Final Answer:
The motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is an example of a **transverse wave**.

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