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You are outside watching a distant white light in the sky on a dark, clear night

ID: 2275877 • Letter: Y

Question

You are outside watching a distant white light in the sky on a dark, clear night thinking that this might be an alien spaceship finally coming to take you away. But then at some poin you notice that it is not a single light, but rather two lights that are approaching you, and you realize that it is just another jet approaching the regional airport. About how far away was the jet when you were able to recognize that it was indeed a jet and not an alien spacecraft if the two lights on the opposit wings of the jet are 19.4 m apart and your pupil diameter is 0.6 cm.


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Explanation / Answer

theta = s/R

s= 19.4


theta = 1.22 lambda/D

mean lambda for white light is= 565nm

19.4/R= 1.22*565*10^-9/0.6*10^-2

R= 1.6*10^5 m

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