A supernova 1 billion times more luminous than the Sun is used as a standard candle to measure the distance to a faraway galaxy. From Earth, the supernova appears as bright as the Sun would appear from a distance of 10 kpc. Calculate the distance to the galaxy.

316227.766 kpc

Explanation:

Brightness is given by

where

L = Luminosity of Sun

d = Distance to the Sun

= Distance to the supernova

= Luminosity of supernova = 10L

From the above relation we get

The distance to the galaxy is 316227.766 kpc

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