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Wave Optics

Question

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

5 m

1 m

6 m

3 m

Solution

5 m

fraction numerator 1.22 space straight lambda over denominator 3 space mm end fraction space equals space Resolution space limit space equals space fraction numerator left parenthesis 1 mm right parenthesis over denominator straight R end fraction therefore space straight R space equals space 5 space straight m