Spica (in Virgo)and Hador (in Centaurus)have about the same temperature.However,Hador has roughly four times the luminosity of Spica.What can you determine about the relative radii of these two stars? Spica is about:

Question

Quizplus · Accepted Answer

The luminosity of a star is proportional to the fourth power of its radius (L ∝ R^4), assuming the same temperature. Therefore, if Hador has four times the luminosity of Spica, then its radius is approximately twice that of Spica (since the fourth root of 4 is 2). So, Spica has about half the radius of Hador, and therefore half the diameter. Therefore, the best choice is B) half the diameter of Hador.

Spica (In Virgo)and Hador (In Centaurus)have About the Same Temperature