1. A sheet of paper with two points is placed in front of you. Your eye can reso

Question

1. A sheet of paper with two points is placed in front of you. Your eye can resolve a minimum separation distance of 80 µm between the two points under a green light (500 nm) illumination. What is the minimum separation distance between the two points under a red light of 600 nm illumination?

I belive the equation here would be s = 2 (L)(Tan(min/2) where s= the distance between two points, L is the lenght between the two points and the aperture, and min is the minimum angular seperation which is min= sin^-1((1.22 )(/nD))

Explanation / Answer

Given,

y1 = 60 um

We know that,

y = m lambda D/d

y1 = m (500 nm) D/d

y2 = m (600 nm) D/d

dividing eqn 2 by 1

y2/y1 = 600/500 = 1.2

y2 = 1.2 x y1 = 1.2 x 80 = 96 um

Hence, y2 = 96 micrometer

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