Choose the only correct statement out of the following

Options

A. Only a charged particle in motion is accompanied by matter waves
B. Only subatomic particles in motion are accompanied by matter waves
C. Any particle in motion , whether charged or uncharged , is accompanied by matter waves
D. No particle , whether at rest or in motion , is ever accompanied by matter waves

Answer

To solve the question, we need to analyze the statements provided and determine which one is correct based on the principles of the dual nature of radiation and matter, specifically referring to De Broglie's Hypothesis.

### Step-by-Step Solution:

1. **Understand De Broglie's Hypothesis**:
De Broglie proposed that all matter has wave-like properties, not just light. This means that every particle, regardless of its charge, has an associated wavelength.

**Hint**: Remember that De Broglie's Hypothesis applies to all particles, not just those that are charged.

2. **Evaluate the Statements**:
- **Statement A**: "Only a charged particle in motion is accompanied by matter waves."
- This is incorrect because De Broglie's Hypothesis states that all particles, charged or uncharged, exhibit wave properties.

- **Statement B**: "Only subatomic particles are accompanied by matter waves."
- This is also incorrect. While subatomic particles do exhibit wave properties, macroscopic particles (like baseballs) also have associated matter waves, though they are negligible.

- **Statement C**: "Any particle in motion is accompanied by matter waves."
- This statement is correct. According to De Broglie's theory, any particle, whether it is charged or uncharged, has an associated matter wave when it is in motion.

- **Statement D**: "No particle is accompanied by matter waves."
- This is incorrect as it contradicts De Broglie's Hypothesis.

3. **Conclusion**:
The only correct statement is **C**: "Any particle in motion is accompanied by matter waves."

### Final Answer:
The correct statement is C: "Any particle in motion is accompanied by matter waves."