Question

1. for most stars, what does a higher temperature tend to go with?

a lower luminosity
a higher luminosity
a red color
none of the above

Explanation:

According to the Stefan - Boltzmann law, the luminosity \(L\) of a star is related to its surface temperature \(T\) (and radius \(R\)) by the formula \(L = 4\pi R^{2}\sigma T^{4}\), where \(\sigma\) is the Stefan - Boltzmann constant. For a given radius (or when considering trends among stars in general), as the temperature \(T\) increases, the luminosity \(L\) increases. Red - colored stars are generally cooler (e.g., red giants can be cooler in surface temperature compared to blue - white stars which are hotter).

Answer:

B. A higher luminosity