Question
As a star's size increases, its luminosity
decreases
. As a star's temperature
, its luminosity increases.
decreases
. As a star's temperature
, its luminosity increases.
Answers
GPT-4o mini
It seems there was a misunderstanding in your first statement. As a star's size increases, its luminosity generally **increases**, not decreases.
To clarify:
1. As a star's size (radius) increases, its luminosity increases because larger stars have more surface area to emit light and heat.
2. As a star's temperature increases, its luminosity also increases. This relationship is explained by the Stefan-Boltzmann Law, which states that the luminosity of a star is proportional to the fourth power of its temperature (L ∝ T^4).
So, in summary:
- As a star's size increases, its luminosity **increases**.
- As a star's temperature increases, its luminosity **increases**.
To clarify:
1. As a star's size (radius) increases, its luminosity increases because larger stars have more surface area to emit light and heat.
2. As a star's temperature increases, its luminosity also increases. This relationship is explained by the Stefan-Boltzmann Law, which states that the luminosity of a star is proportional to the fourth power of its temperature (L ∝ T^4).
So, in summary:
- As a star's size increases, its luminosity **increases**.
- As a star's temperature increases, its luminosity **increases**.