Which object emits the most intense infrared radiation?

[akela]

Astronomy homework question -- stars emitting in infrared

Dear All,

Hello! This is my first post. I am taking a distribution introductory astronomy course (low on math) and am having trouble with this question:

Which object emits more intense infrared radiation:
_ the Earth
_ the Sun
_ a star that is the same size as the Sun but five times hotter.
_ a star that is double the size of the Sun but half as hot.



I cannot decide between options 3 and 4. On the one hand, a star that is half as hot as the Sun emits mostly in infrared. On the other, a hotter star emits more across the whole spectrum. My gut instinct is to go with 3, but I am just not sure. Would using the Stefan-Boltzmann and Wien formulas be helpful?

Thanks in advance,

Akela

 

[haruspex]

Since this is not an astronomy forum, you should post all equations you think may be relevant, explaining the meanings of the symbols. Many who would be able to help are not going to take the time to research that.