Question

which of the following statement(s) accurately describe main sequence star color, temperature, and mass? blue stars are hotter than red stars. white stars are hotter than orange stars. blue stars are more massive than red stars. red stars are hotter than blue stars. red stars are more massive than blue stars.

Explanation:

• For the color - temperature relationship:
• In the context of main - sequence stars, based on Wien's displacement law ($\lambda_{max}T = b$, where $\lambda_{max}$ is the wavelength of maximum emission, $T$ is temperature, and $b$ is Wien's constant), shorter wavelengths (bluer colors) correspond to higher temperatures. So, blue stars ($\lambda_{max}$ in the blue - violet range) are hotter than red stars ($\lambda_{max}$ in the red range), and white stars (a combination of multiple wavelengths, higher average energy per photon) are hotter than orange stars (longer wavelength than white).
• For the mass - color relationship:
• More massive main - sequence stars have higher core pressures and temperatures. They burn hydrogen at a faster rate through the CNO cycle (in addition to the proton - proton chain in lower - mass stars). Blue stars are more massive. The mass of a main - sequence star determines its internal pressure, temperature, and thus its color (through the Planck black - body radiation law, $B(\lambda,T)=\frac{2hc^{2}}{\lambda^{5}}\frac{1}{e^{\frac{hc}{\lambda kT}} - 1}$). Red stars are less massive, cooler, and have a different stellar structure (lower core temperatures and pressures) compared to blue stars.

Answer:

Blue stars are hotter than red stars., White stars are hotter than orange stars., Blue stars are more massive than red stars.