Power and temperature of stars

[DracoMalfoy]

Homework Statement

Star 1 emits energy at a rate that is 2 times that of Star 2. If Star 1 also has a radius that is 3 times larger than Star 2, how do the temperatures of the stars compare?

a. Star 1's temperature is 2.58 that of Star 2.

b. Star 1's temperature is 3.75 that of Star 2.

c. Star 1's temperature is 0.69 that of Star 2.

d. Star 1's temperature is 0.37 that of Star 2.

e. Star 1's temperature is 0.12 that of Star 2.

Homework Equations

The Attempt at a Solution

This is supposed to be a physics class.. I am not sure why we were given this question. The teacher didnt even give us any equations for questions like this. so i have no idea,.. pls help

 

[haruspex]

The teacher didnt even give us any equations

Try this one https://en.m.wikipedia.org/wiki/Stefan–Boltzmann_law

 

[andrevdh]

well Physics is about objects in the real world
jokes aside, a star emits electromagnetic radiation from its surface due to the temperature of the (very hot ) material - similar to a hot filament in a light bulb.
hotter material will emit more radiation energy per unit time.
a larger star will have more surface area and thus also emit more energy per unit time.
so the amount of radiation energy emitted per unit time will depend on the temperature and the amount of surface area of the star.