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TS EAMCET · Physics · Ray Optics

What minimum separation between two objects a human eye would be able to resolve, if the eye pupil diameter is \(2 \mathrm{~mm}\) and the two objects are \(20 \mathrm{~m}\) away from the eye? (Assume, human eye to be equivalent to a convex lens and consider the average wave length of light as \(600 \mathrm{~nm}\) )

  1. A \(7.32 \mathrm{~mm}\)
  2. B \(8.72 \mathrm{~mm}\)
  3. C \(6.2 \mathrm{~mm}\)
  4. D \(4.71 \mathrm{~mm}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(7.32 \mathrm{~mm}\)

Step-by-step Solution

Detailed explanation

Given, diameter of pupil, \(d=2 \mathrm{~mm}=2 \times 10^{-3} \mathrm{~m}\) \(D=20 \mathrm{~m}, \lambda=600 \mathrm{~nm}=6 \times 10^{-7} \mathrm{~m}\) For any aparture, limit of resolution is given as,…
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