Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 6, Problem 9CC
To determine

The radio telescope which leads to a better resolution image between the two radio telescopes: a single radio antenna dish with a diameter of 100 m or two 25-m dishes operating together at a separation of 200 m.

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spy satellite orbiting 410 km above Earth is supposedly capable of counting individual people in a crowd in visual-wavelength images. Assume that the satellite's cameras operate at a wavelength of 550 nm. Assume an average person has a size of 0.6 m as seen from above. Estimate the minimum telescope diameter that the satellite must carry. (Hint: Use The small-angle formula  angular diameter (arc seconds) 2.06  105  =  linear diameter distance  to convert linear size to angular size.)
You want to create a telescope with a resolving powe of 0.100 arc seconds at a wavelength of 550 nm. Wha diameter (in m) do you need? If you want to increase the light gathering power by a factor of 10, by what factor does the diameter need to increase? What would the new resolving power be (in arc seconds)?
What is the limit of angular resolution for a 6.3-m telescope at a wavelength of 533nm?
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