Transverse waves are possible in solids only because

Options

A. they can sustain to compressive stress
B. they can sustain to longitudinal stress
C. they can sustain to shearing stress
D. they can yield to shearing stress.

Answer

To solve the question "Transverse waves are possible in solids only because," we need to analyze the properties of transverse waves and the characteristics of solids.

### Step-by-Step Solution:

1. **Understanding Transverse Waves**:
- Transverse waves are waves in which the particle displacement is perpendicular to the direction of wave propagation. This means that the medium must be able to support such motion.

2. **Medium Requirements**:
- For transverse waves to propagate, the medium must be capable of resisting shear stress. Shear stress is a type of stress that occurs when forces are applied parallel or tangential to a surface.

3. **Properties of Solids**:
- Solids are characterized by their rigidity and ability to maintain shape. They can withstand shear stress, which allows transverse waves to propagate through them.

4. **Comparison with Other States of Matter**:
- Liquids and gases cannot support transverse waves because they do not have the rigidity required to resist shear stress. In these states, the particles can move freely and do not maintain a fixed position, which is necessary for the propagation of transverse waves.

5. **Conclusion**:
- Therefore, the reason transverse waves are possible in solids is that solids can sustain shear stress, allowing them to support the perpendicular motion of particles that characterizes transverse waves.

### Final Answer:
Transverse waves are possible in solids only because they can sustain shear stress.