You are looking down at the earth from inside a jetliner flying atan altitude of

Question

You are looking down at the earth from inside a jetliner flying atan altitude of 10000 m. The pupil of youreye has a diameter of 2.00 mm. Determine how far apart two carsmust be on the ground if you are to have any hope of distinguishingbetween them with the following lighting. (a) red light (wavelength = 665 nm invacuum)
1 m

(b) violet light (wavelength = 405 nm in vacuum)
2 m

Section 27.6 ResolvingPower
(a) red light (wavelength = 665 nm invacuum)
1 m

(b) violet light (wavelength = 405 nm in vacuum)
2 m
Section 27.6 ResolvingPower

Explanation / Answer

we have diameter of the pupil of eye D = 2.0*10-3m altitude H = 10000 m a) wavelength red light = 665*10-9m we have the Rayleigh criterion as    min = 1.22/D plug in for min we also have      min = S/H      or S = min*H plug in for S b) wavelength violet light =405*10-9m we have the Rayleigh criterion as    min = 1.22/D plug in for min we also have      min = S/H      or S = min*H plug in for S wavelength violet light =405*10-9m we have the Rayleigh criterion as    min = 1.22/D plug in for min we also have      min = S/H      or S = min*H plug in for S

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