The objective of a microscope has a focal length of 1 cm and diameter 0.5 cm. Using light of 6000 Å, is it possible to resolve the two point objects if they are separated by a distance of `10^(-6) m` ?

Explanation

To determine whether two point objects separated by a distance of \(10^{-6} \, \text{m}\) can be resolved by a microscope with a given focal length and diameter, we can follow these steps:

### Step 1: Convert all measurements to SI units
- Focal length \( f_0 = 1 \, \text{cm} = 0.01 \, \text{m} \)
- Diameter \( a = 0.5 \, \text{cm} = 0.005 \, \text{m} \)
- Wavelength \( \lambda = 6000 \, \text{Å} = 6000 \times 10^{-10} \, \text{m} = 6 \times 10^{-7} \, \text{m} \)

### Step 2: Write the formula for the resolving power
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