Assume that Rayleigh’s criterion gives the limit of resolution of an astronaut’s eye looking down on Earth’s surface from a typical space shuttle altitude of 400 km. (a) Under that idealized assumption, estimate the smallest linear width on Earth’s surface that the astronaut can resolve.Take the astronaut’s pupil diameter to be 5 mm and the wavelength of visible light to be 550 nm. (b) Can the astronaut resolve the Great Wall of China , which is more than 3000 km long, 5 to 10 m thick at its base, 4 m thick at its top, and 8 m in height? (c) Would the astronaut be able to resolve any unmistakable sign of intelligent life on Earth’s surface?

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter3: Interference
Section: Chapter Questions
Problem 86AP: The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of...
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Assume that Rayleigh’s criterion gives the limit of resolution
of an astronaut’s eye looking down on Earth’s surface from a
typical space shuttle altitude of 400 km. (a) Under that idealized assumption,
estimate the smallest linear width on Earth’s surface that
the astronaut can resolve.Take the astronaut’s pupil diameter to be
5 mm and the wavelength of visible light to be 550 nm. (b) Can the
astronaut resolve the Great Wall of China , which is
more than 3000 km long, 5 to 10 m thick at its base, 4 m thick at its
top, and 8 m in height? (c) Would the astronaut be able to resolve
any unmistakable sign of intelligent life on Earth’s surface?

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