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 identify the one that is correct based on our understanding of matter waves.

### Step-by-Step Solution:

1. **Understanding Matter Waves**:
- Matter waves, also known as de Broglie waves, are associated with moving particles. According to Louis de Broglie, every moving particle has an associated wave.

2. **De Broglie's Hypothesis**:
- The relationship between the wavelength (λ) of the matter wave and the momentum (p) of the particle is given by the equation:
\[ \lambda = \frac{h}{p} \]
- Here, \( h \) is Planck's constant, and \( p \) is the momentum of the particle.

3. **Analyzing the Options**:
- We need to evaluate each of the statements provided in the question to determine which one accurately reflects the principles of matter waves.

4. **Identifying the Correct Statement**:
- After reviewing the options, we find that the third option states: "Any particle in motion, whether charged or uncharged, is accompanied by a matter wave." This statement aligns with de Broglie's hypothesis, which applies to all particles in motion.

5. **Conclusion**:
- Therefore, the correct answer is the third option, as it accurately describes the nature of matter waves associated with particles.

### Final Answer:
The only correct statement is: "Any particle in motion, whether charged or uncharged, is accompanied by a matter wave."

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