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University of Wisconsin - Milwaukee

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Problem 41 Easy Difficulty

A converging lens with a diameter of 30.0 cm forms an image of a satellite passing overhead. The satellite has two green lights (wavelength 500. nm) spaced 1.00 m apart. If the lights can just be resolved according to the Rayleigh criterion, what is the altitude of the satellite?

Answer

4.92 m

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Video Transcript

so we have the diameter of the Converse. Inglis is the recent emitter, which is European three meter. The satellite has to green lights off Web Link 500 Adam eaters, which is equal to 500 times 10 to the negative nine meter, and they're actually separated by the distance off one meter. Okay, so the lights are separated by distance of why one meter, so as equals one meter. So for the situation of all where the lights can just believe result, we can recall that it's going to be the angle off resolution iss going to be that I mean, and this is s over our and we actually also have did, I mean equals 1.2 to Lambda over tea where d is the first of diameter, right? So from here, we can actually write down our equals esta t over 1.2 to Lambda, which is going to be one times 0.3 over 1.22 times 500 times 10 to the negative nine. And this is going to give us 4 92 000 made her, which is 492 kilometer

University of Wisconsin - Milwaukee
Top Physics 103 Educators
Marshall S.

University of Washington

Zachary M.

Hope College

Aspen F.

University of Sheffield

Meghan M.

McMaster University