Which of the following statements are true for wave motion?

Options

A. Mechanical transverse waves can propoagate through all mediums
B. Longitudinal waves can propagate through solids only
C. Mechanical transverse waves can propagate through solids only
D. Longitudinal waves can propagate through vacuum

Explanation

To determine which statements are true for wave motion, let's analyze each option step by step.

### Step-by-Step Solution:

1. **Understanding Wave Types**:
- Waves can be classified into two main types: mechanical waves and electromagnetic waves.
- Mechanical waves require a medium (solid, liquid, or gas) to propagate, while electromagnetic waves can travel through a vacuum.

2. **Analyzing the Options**:
- **Option 1**: "Mechanical transverse waves can propagate through all mediums."
- **Analysis**: This statement is false. Mechanical transverse waves can only propagate through solids, not through liquids or gases.

- **Option 2**: "Longitudinal waves can propagate through solids only."
- **Analysis**: This statement is also false. Longitudinal waves can propagate through solids, liquids, and gases.

- **Option 3**: "Mechanical transverse waves can propagate through solids only."
- **Analysis**: This statement is true. Mechanical transverse waves require a solid medium for propagation.

- **Option 4**: "Longitudinal waves can propagate through vacuum."
- **Analysis**: This statement is false. Longitudinal waves require a medium to propagate and cannot travel through a vacuum.

3. **Conclusion**:
- After analyzing all options, we find that the only true statement is **Option 3**: "Mechanical transverse waves can propagate through solids only."

### Final Answer:
The correct option is **Option 3**.

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