Based on your knowledge of blackbodies, should the hotter star or the cooler star be more luminous

Hotter star is more luminous.

Explanation:

A blackbody is an object that absorbs all the radiation incident on it. It does not reflect or let the radiation pass through it.

When the radiations are absorbed, the blackbody heats up. This results in the emission of radiation by the blockbody.

The amount of radiation the black body emits, depends upon the temperature of the blackbody. Therefore, greater the temperature of the blackbody, more the emitted radiation.

A star is very similar to a blackbody. So, if two stars are compared, then the hotter star will emit more light as compared to the cooler star.

Therefore, the hotter star will be more luminous than the cooler star.