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CUET · PHYSICS · PYQ PAPER 2023

A telescope has an objective lens of 0.1 m diameter and is situated at a distance of 500 m from two objects. What will be the minimum distance between these two objects which can be resolved by the telescope? The mean wavelength of light is 600 nm.

  1. A 1.46 mm
  2. B 0.37 mm
  3. C 3.66 mm
  4. D 1.21 mm
Verified Solution

Answer & Solution

Correct Answer

(C) 3.66 mm

Step-by-step Solution

Detailed explanation

\( \Delta y = L \theta = L \left( 1.22 \frac{\lambda}{D} \right) \) \( \Delta y = 500 \, \text{m} \times 1.22 \times \frac{600 \times 10^{-9} \, \text{m}}{0.1 \, \text{m}} \) \( \Delta y = 3.66 \times 10^{-3} \, \text{m} = 3.66 \, \text{mm} \)