131k views
2 votes
By what factor would a star's luminosity change if its temperature goes up by a factor of 4?

1 Answer

6 votes

Final answer:

If a star's temperature goes up by a factor of 4, its luminosity would change by a factor of 256 according to the Stefan-Boltzmann law.

Step-by-step explanation:

The luminosity of a star is related to its temperature through the Stefan-Boltzmann law, which states that the luminosity is proportional to the fourth power of the temperature.

If the temperature of a star increases by a factor of 4, the luminosity would increase by a factor of 4^4, which is 256.

Therefore, the star's luminosity would change by a factor of 256 if its temperature goes up by a factor of 4.

User Ompel
by
7.8k points

No related questions found