Name the properties which a material medium should have in order that a wave propagates through it.

Answer

To determine the properties that a material medium should have for wave propagation, we can outline the following steps:

### Step-by-Step Solution:

1. **Isotropic Nature**:
- The first property that a medium must possess is isotropy. This means that the medium should have the same physical properties in all directions. This uniformity ensures that waves can propagate without distortion or variation in speed due to directional differences.

2. **Elasticity**:
- The second property required is elasticity. A medium must be able to return to its original shape after being disturbed. This ability allows particles within the medium to regain their initial positions after displacement, which is crucial for the transmission of waves.

3. **Inertia**:
- The third property is inertia. The medium must have inertia to store kinetic energy. This means that the particles of the medium should have mass, allowing them to resist changes in motion and store energy as they oscillate back and forth during wave propagation.

### Summary of Properties:
- **Isotropic**: Same properties in all directions.
- **Elasticity**: Ability to return to original shape after disturbance.
- **Inertia**: Capacity to store kinetic energy of particles.