Exercise 36.49 Part A The Hubble Space Telescope has an aperture ot 2.4 m and to
ID: 1785523 • Letter: E
Question
Exercise 36.49 Part A The Hubble Space Telescope has an aperture ot 2.4 m and tocuses visible light (400-700 nm) The Arecibo radio telescope in Puerto Rico is 305 m (1000 ft) in dameter (it is buit in a mountain valley) and tocuses radio waves of wavelengh 75 em. Under optimal viewing canditions, what is the smallest crater that each of these telescopes couid resolve on aur moon? Enter your answers numerically separated by a comma. Express your answers using two significant figures Submit My Answers Give Part B If the Hubble Space Telescope were to be converted to surveillance use, what is the highest orbit above the surface of the earth it could nave and soll able to resolve the license plate (n the leners·just the pale) of a car onne gound? Assunte Otnial ver ng condit ons, so nalt eres union is diffraction inited Assume that the size of the license plate is 30 CL Express your answer using two significant nigures km My Answers Gre.Explanation / Answer
a) yhubble = 1.22 * 400 * 10-9 * 384400 * 103 / 2.4
= 78.16 m
yarecibo = 1.22 * 0.75 * 384400 * 103 / 305
= 1,153,200 m = 1.15 * 106 m
b) y = 1.22 lambda * D / d
D = d y / 1.22 lambda
= (2.4 * 30 * 10-2) / (1.22 * 400 * 10-9)
= 1.47 * 106 m = 1.47 * 103 km
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