Optical Instruments: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Optical Instruments. Understanding the underlying formula is key to arriving at the correct answer below:

Resolving power limit $\theta = \frac{1.22 \lambda}{D} = \frac{1.22 \times 5000 \times 10^{-10}}{0.1} = 6.1 \times 10^{-6} rad$. The minimum linear distance is $x = r \theta = 1000 \times 6.1 \times 10^{-6} = 6.1 \times 10^{-3} m = 6.1 mm$, which is of the order of $5 mm$.