johns3629 johns3629
  • 06-07-2020
  • Geography
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Star A is 125 times brighter than Star B how many times hotter is Star A than star B

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pedrocarratore
pedrocarratore pedrocarratore
  • 07-07-2020

Answer:

Star A is 3.343 times hotter than star B.

Explanation:

It is known that the luminosity of a star is proportional to its effective temperature to the 4th power. This means that the ratio between the brightness of stars A and B is equal to the ratio between their temperatures to the 4th power:

[tex]125=T^4\\T=\sqrt[4]{125}\\T=3.343[/tex]

Star A is 3.343 times hotter than star B.

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