The diameter of human eye lens is `2 mm`. What should be the minimum separation between two points situated at `50 m` from eye, to resolve tham. Take wavelength of light `= 5000 Å`.
Text Solution
AI Generated Solution
To solve the problem of determining the minimum separation between two points that can be resolved by the human eye, we will use the formula for resolving power based on the diffraction limit. Here are the steps to derive the solution:
### Step-by-Step Solution:
1. **Identify Given Values:**
- Diameter of the human eye lens, \( D = 2 \, \text{mm} = 2 \times 10^{-3} \, \text{m} \)
- Wavelength of light, \( \lambda = 5000 \, \text{Å} = 5000 \times 10^{-10} \, \text{m} = 5 \times 10^{-7} \, \text{m} \)
- Distance to the object, \( L = 50 \, \text{m} \)
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