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ASTR 370_HW6_FA18.pdf - Astronomy 370: Homework Set 6...

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Astronomy 370: Homework Set 6Jessica AsbellOctober 28, 2018Due Thursday 11/8, in class. Assignment must be typed. Show all of your work for full credit.The course textbook does not cover all the topics we covered in class. I recommend reviewingyour notes and online textbook links.1. What would the effective temperature of the Earth be if the Sun were replaced by a star10,000times as luminous as the Sun?2. The Sun’s habitable zone is (optimistically) calculated to extend from about0.84to1.7AU.Consider a star of spectral type M, with a habitable zone ranging from0.05to0.1AU.(a) Assuming the probability of finding a planet in a habitable zone depends only on thezone’s size, how would the probability of finding a planet in the habitable zone of thisM star compare to the probability around a Sun-like star?(b) M type stars outnumber Sun-like stars by approximately eight to one, for which class ofstars would you expect more worlds in habitable zones?3. The element Rubidium-87 beta decays into Strontium-87 with a half life of48.8billion years.(a) Write the reaction that describes this decay.(b) A lunar meteorite is measured to have an Rb-Sr ratio of0.04649. Estimate the age ofthis meteorite.

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