The order of magnitude of velocity of sound in solids, liquids and gases is - (`V_s =` velocity in solids, `V_l` = velocity in liquids and `V_g` = velocity in gases)

Options

A. `V_g gt V_l gt V_s`
B. ` V_s gt V_g gt V_t`
C. `V_g lt V_t lt V_s`
D. `V_s V_g = V_t`

Explanation

To determine the order of magnitude of the velocity of sound in solids, liquids, and gases, we can analyze the properties of these states of matter and how they affect sound propagation.

### Step-by-Step Solution:

1. **Understanding Sound Propagation**:
- Sound is a mechanical wave that requires a medium (solid, liquid, or gas) to travel through. The molecules of the medium vibrate to transmit sound.

2. **Molecular Arrangement**:
- In solids, molecules are closely packed together. This close proximity allows sound waves to travel quickly as the vibrations can easily transfer from one molecule to the next.
- In liquids, molecules are less tightly packed than in solids, allowing for some movement but still facilitating sound transmission, albeit slower than in solids.
- In gases, molecules are far apart and move randomly. This greater distance means that sound takes longer to propagate as the vibrations have to travel further between molecules.

3. **Comparing Velocities**:
- Since sound travels fastest in solids due to the close packing of molecules, we denote the velocity of sound in solids as \( V_s \).
- The velocity of sound in liquids, denoted as \( V_l \), is slower than in solids but faster than in gases.
- The velocity of sound in gases, denoted as \( V_g \), is the slowest due to the large intermolecular distances.

4. **Order of Magnitude**:
- Based on the above analysis, we can establish the order of magnitude of the velocities:
- \( V_s > V_l > V_g \)

### Conclusion:
The correct order of the velocity of sound in different states of matter is:
\[ V_s > V_l > V_g \]