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kogti [31]
3 years ago
6

A person standing in the middle of a long straight road sees a truck with its headlights on approaching in the distance. The tru

cks headlights are 3 m apart. Assuming the headlights are point sources emitting yellow light of wavelength 600 nm and the diameter of the human pupil is 5 mm, approximately how far is the truck from the person when he can first resolve the two headlights as separate sources
Physics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

Given:\\d=5mm=0.005\\lambda=600nm=600*10^-^9

y=3m\\L=?

applying Rayleigh criterion

sin\alpha =y/L=1.22(lambda/d)=1.22(600*10^-^9nm/0.005)=1.464*10^-^4\\\alpha =1.464*10^-^4rad

sin\alpha =y/L\\=1.22(lambda/d)\\L=yd/1.22*lambda\\=3m*0.005/1.22*600*10^-^9\\=20 km

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