What do filter magnitudes, such as $B$ magnitude and $V$ magnitude, allow astronomers to determine about a star?

Answer

Its color index

Measuring brightness through specific filters allows for the calculation of the color index (e.g., $B-V$), which provides vital clues about the star's surface temperature and evolutionary state.

What do filter magnitudes, such as $B$ magnitude and $V$ magnitude, allow astronomers to determine about a star?
astronomystarbrightnessScalestellar magnitude