Suppose a star 1000 times brighter than our Sun (that is, emitting 1000 times the power) suddenly

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Suppose a star 1000 times brighter than our Sun (that is, emitting 1000 times the power) suddenly goes supernova. Using data from Table 7.3:

(a) By what factor does its power output increase? 

(b) How many times brighter than our entire Milky Way galaxy is the supernova?

(c) Based on your answers, discuss whether it should be possible to observe supernovas in distant galaxies. Note that there are on the order of 1011 observable galaxies, the average brightness of which is somewhat less than our own galaxy.

Data given in Table 7.3

Supernova (at peak) Milky Way galaxy Object or Phenomenon Crab Nebula pulsar The Sun Volcanic eruption

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