Halliday, Resnick & Walker — Diffraction: Problem 64

64 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 420 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 (Fig. 36-41), 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?