Q.

Two points 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 λ=500nm]

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a

6 m

b

5 m

c

3 m

d

1 m

answer is B.

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Detailed Solution

we know that θ=yD≥1⋅22λdor D≤yd1⋅22λ D≤10−3×3×10−31⋅22×5×10−7≤≈5m Dmax=5m
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Two points 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 λ=500nm]