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Question: Answered & Verified by Expert
Two point white dots are $1 \mathrm{~mm}$ apart on a black paper. They are viewed by eye of pupil diameter $3 \mathrm{~mm}$. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light $=500 \mathrm{~nm}$ ]
PhysicsWave OpticsJEE MainJEE Main 2005
Options:
  • A
    $5 \mathrm{~m}$
  • B
    $1 \mathrm{~m}$
  • C
    $6 \mathrm{~m}$
  • D
    $3 \mathrm{~m}$
Solution:
1565 Upvotes Verified Answer
The correct answer is:
$5 \mathrm{~m}$
$\frac{1.22 \lambda}{(3 \mathrm{~mm})}=$ Re solution limit $=\frac{(1 \mathrm{~mm})}{\mathrm{R}}$
$\therefore \mathrm{R}=5 \mathrm{~m}$

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