? star has a radius similar to that of the Sun but half the Sun's luminosity. What is the surface temperature of this star using this data?

Question

Quizplus · Accepted Answer

The luminosity of a star is proportional to the fourth power of its surface temperature and the square of its radius (L ∝ R^2 T^4). Given the star has the same radius as the Sun but half the luminosity, we can set up the equation (0.5 = (T_star/T_sun)^4). Solving for T_star gives T_star = 0.84 T_sun.

? Star Has a Radius Similar to That of the Sun