Two stars have the same diameter and are at the same distance from us $($but in different parts of the sky$.)$ Star A has a temperature of $4000$ K $,$ while star B has a temperature of $8000$K$.$ Which of the following statements is true:

star B has twice the energy flux $($luminosity$)$ that star A has

star B has $16$ times the energy flux $($luminosity$)$ that star A has

star B has one half the energy flux $($luminosity$)$ that star A has

Sorry, professor, we don${?}^{TM}t$ have enough information to compare the energy flux $($luminosity$)$ of the two stars

the two stars have the same total energy flux $($luminosity$)$