Two point white dots are \( 1 \mathrm{~mm} \) apart on a black paper. They are viewed by eye of ...

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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 \( =500 \mathrm{~nm} \) ]
a. \( 6 \mathrm{~m} \)
b. \( 3 \mathrm{~m} \)
c. \( 5 \mathrm{~m} \)
d. \( 1 \mathrm{~m} \)
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