For a wavelength of light and scattering object is size a, all wavelengths are scattered nearly equally, if:

Options

A. a=1
B. `a gt gt 1`
C. `a lt lt 1`
D. `a^(3)I`

Answer

To solve the problem, we need to analyze the conditions under which all wavelengths of light are scattered nearly equally by an object of size \( a \).

### Step-by-Step Solution:

1. **Understanding Scattering**: Scattering occurs when light interacts with particles or objects. The efficiency of scattering depends on the size of the scattering object relative to the wavelength of light.

2. **Comparing Size and Wavelength**: For scattering to be nearly equal for all wavelengths, the size of the scattering object \( a \) must be comparable to or larger than the wavelength of light \( \lambda \).

3. **Condition for Equal Scattering**: When the size of the scattering object \( a \) is much larger than the wavelength \( \lambda \) (i.e., \( a \gg \lambda \)), the scattering is more uniform across different wavelengths. This is because larger particles can scatter light of different wavelengths more uniformly.

4. **Conclusion**: Therefore, for all wavelengths to be scattered nearly equally, the condition can be expressed as:
\[ a > \lambda \]
This means that the size of the scattering object \( a \) must be greater than the wavelength of light \( \lambda \).

5. **Final Answer**: Hence, the correct option is that \( a \) should be greater than 1 (in terms of the wavelength of light).