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AP EAMCET · PHYSICS · Ray Optics

Two-point white dots are \(2 \mathrm{~mm}\) apart on a black paper. They are viewed by eye of pupil diameter \(3 \mathrm{~mm}\). What is the maximum distance at which these dots can be resolved by the eye? \((\lambda=500 \mathrm{~nm})\)

  1. A \(5 \mathrm{~m}\)
  2. B \(1 \mathrm{~m}\)
  3. C \(6 \mathrm{~m}\)
  4. D \(10 \mathrm{~m}\)
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Answer & Solution

Correct Answer

(D) \(10 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Distance between two point white dots, \[ x=2 \mathrm{~mm}=2 \times 10^{-3} \mathrm{~m} \] Diameter of pupil, \(d=3 \mathrm{~mm}=3 \times 10^{-3} \mathrm{~m}\) and \(\quad \lambda=500 \mathrm{~mm}=5 \times 10^{-7} \mathrm{~m}\) If \(D\) be the maximum distance at which these two…
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