The velocity of sound is generally greater in solids than in gases because

Options

A. the density of solids is high and the elasticity is low
B. both the density and the elasticity of solids are very low
C. the density of solids is low and the elasticity is high
D. the elasticity of solids is very high

Answer

To solve the question regarding why the velocity of sound is generally greater in solids than in gases, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Relationship**: The velocity of sound (V) in a medium can be expressed with the formula:
\[ V = \sqrt{\frac{E}{\rho}} \]
where \(E\) is the elasticity (or modulus of elasticity) of the medium, and \(\rho\) is the density of the medium.

2. **Comparing Solids and Gases**:
- Solids generally have a higher modulus of elasticity compared to gases. This means that solids can return to their original shape more easily after being deformed, which allows sound waves to travel faster.
- Gases, on the other hand, have a lower modulus of elasticity, which means they are less resistant to deformation.

3. **Density Consideration**:
- While solids have a higher density than gases, the effect of elasticity is more significant in determining the speed of sound. The formula indicates that a higher elasticity (E) will lead to a higher velocity (V), even if the density (\(\rho\)) is also higher.

4. **Conclusion**: Given that solids have a much higher elasticity compared to gases, this is the primary reason why the velocity of sound is greater in solids. Therefore, the correct answer to the question is:
- **Elasticity of solid is very high** (Option D).

### Final Answer:
The velocity of sound is generally greater in solids than in gases because the elasticity of solid is very high (Option D).