Transverse waves propagate in a medium with

Options

A. shear modulus of elasticity
B. bulk modulus of elasticity
C. modulus of rigidity
D. compressibility of the medium

Answer

To solve the question about the propagation of transverse waves in a medium, we need to understand the properties of the medium and the types of waves.

### Step-by-Step Solution:

1. **Understanding Transverse Waves**:
- Transverse waves are waves where the particle displacement is perpendicular to the direction of wave propagation. An example of transverse waves is waves on a string.

2. **Medium for Transverse Waves**:
- Transverse waves can only propagate in solids. This is due to the nature of how particles in solids can resist shear stress, which is necessary for transverse wave motion.

3. **Elastic Properties of the Medium**:
- The propagation of transverse waves in solids is governed by the shear modulus of elasticity (also known as the modulus of rigidity). This modulus measures how a material deforms under shear stress.

4. **Shear Modulus of Elasticity**:
- The shear modulus (G) is defined as the ratio of shear stress to shear strain. When a shear force is applied to a solid, it deforms, and the shear modulus quantifies this deformation.

5. **Conclusion**:
- Therefore, the correct answer to the question is that transverse waves propagate in a medium characterized by the shear modulus of elasticity.

### Final Answer:
Transverse waves propagate in a medium with **shear modulus of elasticity**.

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