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JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Physics
Chapter
Wave Optics

JEE Main 2005 · Physics · Wave Optics

Two point white dots are 1 ~mm apart on a black paper. They are...

Two point white dots are 1 mm1 \mathrm{~mm} apart on a black paper. They are viewed by eye of pupil diameter 3 mm3 \mathrm{~mm}. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light =500 nm=500 \mathrm{~nm} ]

Options

  1. A5 m5 \mathrm{~m}
  2. B1 m1 \mathrm{~m}
  3. C6 m6 \mathrm{~m}
  4. D3 m3 \mathrm{~m}

Correct answer

A. 5 m5 \mathrm{~m}

Step-by-step solution

1.22λ(3 mm)=\frac{1.22 \lambda}{(3 \mathrm{~mm})}= Re solution limit =(1 mm)R=\frac{(1 \mathrm{~mm})}{\mathrm{R}} ∴R=5 m\therefore \mathrm{R}=5 \mathrm{~m}
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