Max distance of resolution from 2 point sources of lightby Cheezay Tags: distance, light, point, resolution, sources 

#1
Apr2609, 11:38 AM

P: 26

1. The problem statement, all variables and given/known data
Two point sources of light are separated by 4.91 cm. As viewed through a 12.1 μm diameter pinhole, what is the maximum distance from which they can be resolved if red light (λ = 690 nm) is used? 2. Relevant equations sinθ = 1.22*(λ/D) y= L*tan θ 3. The attempt at a solution Using sinθ = 1.22*(λ/D) , I solve for θ. Then using θ I put it into the second equation, y= L*tan θ. I should then be able to solve for L, but the problem is i don't know what y is, or what value i can use for y. Any suggestions? Thanks in advance 



#2
Apr2609, 07:58 PM

Mentor
P: 11,984

Have you drawn a diagram? Looks like L is the distance between the pinhole and the two sources, and θ is the angle between the two sources as viewed from the pinhole. What would that make y?
p.s., the small angle approximations θ ≈ sinθ ≈ tanθ may be used here. 


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