During scattering of light, the amount of scattering is inversely proportional to of wavelength of light

Options

A. Square
B. Fourth power
C. Half
D. Cube

Answer

To solve the question regarding the scattering of light and its relationship with the wavelength, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Scattering**:
- Scattering of light refers to the process where light is forced to deviate from a straight trajectory due to non-uniformities in the medium through which it passes.

2. **Identify the Relationship**:
- The question states that the amount of scattering is inversely proportional to the wavelength of light. This means that as the wavelength increases, the amount of scattering decreases, and vice versa.

3. **Recall Cauchy's Theorem**:
- Cauchy's theorem provides a specific relationship regarding scattering. It states that the amount of scattering is inversely proportional to the fourth power of the wavelength of light.

4. **Formulate the Expression**:
- Based on Cauchy's theorem, we can express this relationship mathematically as:
\[ \text{Scattering} \propto \frac{1}{\lambda^4} \]
- Here, \(\lambda\) represents the wavelength of light.

5. **Conclude the Power of Wavelength**:
- Since the scattering is inversely proportional to the fourth power of the wavelength, we conclude that the answer to the question is 4.

6. **Select the Correct Option**:
- Based on our conclusion, the correct answer is option B, which indicates the fourth power.

### Final Answer:
The amount of scattering is inversely proportional to the fourth power of the wavelength of light.

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