In a stretched string.

Options

A. Only transverse wave can exits
B. Only longitudinal waves can exist
C. Both transverse and longitudinal waves can exits
D. none of these

Answer

To solve the problem regarding which waves can travel on a stretched string, we will analyze the characteristics of transverse and longitudinal waves.

### Step-by-Step Solution:

1. **Understanding Wave Types**:
- **Transverse Waves**: In transverse waves, the motion of the particles of the medium is perpendicular to the direction of the wave propagation. For example, if the wave is moving horizontally, the particles move up and down.
- **Longitudinal Waves**: In longitudinal waves, the motion of the particles is parallel to the direction of wave propagation. This involves compressions and rarefactions in the medium.

2. **Behavior of a Stretched String**:
- A stretched string can support transverse waves because the particles can move up and down while the wave travels horizontally. This is due to the tension in the string, which allows for such motion.

3. **Limitations of Longitudinal Waves in a Stretched String**:
- Longitudinal waves require the particles to move back and forth along the direction of wave propagation. However, in a stretched string, the particles are constrained to move in a direction perpendicular to the tension in the string. Therefore, they cannot move in the same direction as the wave travels.

4. **Conclusion**:
- Since only transverse waves can propagate through a stretched string and longitudinal waves cannot, we conclude that the correct option is that only transverse waves can exist in a stretched string.

### Final Answer:
**Only transverse waves can travel on a stretched string.**