Betelgeuse is a nearby supergiant that will eventually explode into a supernova. At peak brightness, the supernova will have a luminosity of about 20 billion times the Sun. It is 600 lightyears away. All stellar brightnesses are compared with Vega, which has an intrinsic luminosity of about 60 times the sun, a distance of 25 lightyears away, an absolutely magnitude of 0.6 and an apparent magnitude of 0.  a) At peak brightness, how many times brighter will betelgeuses be than Vega?  b) Approximately what apparent magnitude does this correspond to? c) The sun is about -26.5 apparent magnitude. What fraction of the Sun'ss brightness will Betelgeuse be?

Stars and Galaxies (MindTap Course List)
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Chapter12: Stellar Evolution
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Betelgeuse is a nearby supergiant that will eventually explode into a supernova. At peak brightness, the supernova will have a luminosity of about 20 billion times the Sun. It is 600 lightyears away. All stellar brightnesses are compared with Vega, which has an intrinsic luminosity of about 60 times the sun, a distance of 25 lightyears away, an absolutely magnitude of 0.6 and an apparent magnitude of 0. 

a) At peak brightness, how many times brighter will betelgeuses be than Vega? 

b) Approximately what apparent magnitude does this correspond to?

c) The sun is about -26.5 apparent magnitude. What fraction of the Sun'ss brightness will Betelgeuse be? 

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