Problem

Searching for Starspots. The Hale Telescope on Palomar Mountain in California has a mirro...

Searching for Starspots. The Hale Telescope on Palomar Mountain in California has a mirror 200 in. (5.08 in) in diameter and it focuses visible light. Given that a large sunspot is about 10.000 mi in diameter, what is the most distant star on which this telescope could resolve a sunspot to see whether other stars have them? (Assume optimal viewing conditions, so that the resolution is diffraction limited.) Are there any stars this close to us, besides our sun?

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