The matter-wave picture of electromagnetic wave/radiation elegantly incorporated the

Options

A. Heinsenberg's uncertainty principle
B. correspondence principle
C. cosmic theory
D. Hertz's observations

Answer

To solve the question regarding which principle elegantly incorporates the matter-wave picture of electromagnetic radiation, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Question**: The question asks which principle explains the matter-wave picture of electromagnetic radiation. We have four options to consider: Heisenberg's uncertainty principle, correspondence principle, cosmic theory, and Hertz observation.

2. **Analyze Each Option**:
- **Heisenberg's Uncertainty Principle**: This principle states that it is impossible to simultaneously know both the position and momentum of a particle with absolute precision. This principle is fundamental in quantum mechanics and relates to the wave-particle duality, suggesting that particles exhibit both wave-like and particle-like properties.

- **Correspondence Principle**: This principle states that the behavior of quantum systems must converge to classical physics in the limit of large quantum numbers. It deals more with the transition between quantum and classical mechanics rather than the matter-wave picture itself.

- **Cosmic Theory**: This theory pertains to the study of the universe's origin and evolution (cosmology). It does not relate to the properties of electromagnetic radiation or matter waves.

- **Hertz Observation**: This refers to the experimental observations made by Heinrich Hertz regarding the photoelectric effect, which demonstrated the particle nature of light. While it is important in understanding light's behavior, it does not encompass the wave-particle duality as a whole.

3. **Identify the Correct Principle**: After analyzing all options, it is clear that the **Heisenberg's Uncertainty Principle** is the one that best explains the matter-wave picture of electromagnetic radiation because it incorporates the concept of wave-particle duality, which is central to the understanding of matter waves.

4. **Conclusion**: Therefore, the correct answer is **Heisenberg's Uncertainty Principle**.

### Final Answer:
The matter-wave picture of electromagnetic radiation is elegantly incorporated by **Heisenberg's Uncertainty Principle**.

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