|Nov15-11, 05:53 PM||#1|
resolution of distant light sources
1. The problem statement, all variables and given/known data
How far away can a human eye distinguish two car headlights 2.1 m apart? Consider only diffraction effects and assume an eye pupil diameter of 5.0 mm and a wavelength of 550 nm. What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects?
2. Relevant equations
θ=(1.22*λ)/D where D=diameter
3. The attempt at a solution
If θ=2sin-1(0.5d/l) where d=distance between objects and l=length/distance to objects, then θ=(1.22*λ)/D with λ550e-9 m and D=0.005 m and l=2.1 m yields l=8.9658e5 m. This is incorrect though and I'm not sure where I went wrong. Any help is appreciated, thanks.
|Nov15-11, 07:45 PM||#2|
|Nov15-11, 08:14 PM||#3|
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