Which of the following phenomenon could not be explained by wave nature of light?

Options

A. Interference
B. Diffraction
C. Black body radiation
D. Polarization

Answer

To solve the question "Which of the following phenomenon could not be explained by wave nature of light?", we will analyze each phenomenon listed in the options and determine which one does not align with the wave theory of light.

### Step-by-Step Solution:

1. **Understanding Wave Nature of Light**:
- Light exhibits wave-like properties, which include phenomena such as interference, diffraction, and polarization. These properties can be explained by the wave theory of light, which describes light as a wave that can exhibit behaviors such as superposition and bending around obstacles.

2. **Analyzing Each Option**:
- **Interference**:
- Interference occurs when two waves of the same frequency superpose, resulting in a new wave pattern. This phenomenon is well explained by the wave nature of light, as it involves the constructive and destructive interference of waves.

- **Diffraction**:
- Diffraction is the bending of light waves around obstacles or through openings. This phenomenon is also explained by the wave nature of light, as it involves the wavefronts spreading out after passing through a narrow aperture.

- **Black Body Radiation**:
- Black body radiation refers to the electromagnetic radiation emitted by a body in thermal equilibrium. The energy distribution of this radiation does not align with the predictions made by the wave theory of light. Instead, it requires a quantum mechanical explanation, specifically Planck's law, which introduces the concept of quantized energy levels.

- **Polarization**:
- Polarization is the orientation of light waves in a particular direction. This phenomenon can be explained by the wave nature of light, as it involves the alignment of the electric field vectors of light waves.

3. **Conclusion**:
- Among the listed phenomena, **black body radiation** is the one that cannot be explained by the wave nature of light. It requires a quantum mechanical approach for a complete understanding.

### Final Answer:
The phenomenon that could not be explained by wave nature of light is **black body radiation**.