As a star's size increases, its luminosity

increases
. As a star's temperature
increases
, its luminosity increases.

Both statements are true. The luminosity of a star is directly related to its size and temperature.

As a star's size increases, its luminosity also increases. This is because larger stars have a greater surface area, allowing them to emit more energy and light.

Similarly, as a star's temperature increases, its luminosity increases. The temperature of a star affects its brightness because higher temperatures result in greater energy output. Hotter stars emit more light and therefore have a higher luminosity.

Overall, the size and temperature of a star are key factors that determine its luminosity.

That is correct! Both the size and temperature of a star play a role in determining its luminosity. Here are the step-by-step explanations:

1. As a star's size increases, its luminosity increases:
- The luminosity of a star depends on how much energy it emits per second.
- A larger star has a greater surface area, which means it can emit more energy.
- Therefore, as a star's size increases, its luminosity increases.

2. As a star's temperature increases, its luminosity increases:
- The luminosity of a star also depends on its temperature.
- Stars emit energy through a process called nuclear fusion, where hydrogen nuclei combine to form helium, releasing a tremendous amount of energy.
- The rate of nuclear fusion reactions increases with temperature.
- So, as the temperature of a star increases, more nuclear fusion takes place, resulting in a higher energy output or luminosity.

Both factors, size and temperature, contribute to the overall luminosity of a star.