What Should the Detector Temperature Be for Measuring Black Body Radiation?

[bull0sees]

Homework Statement

Suppose you are inside a black body radiation cavity which is at temperature T. Your job is to measure the radiation field in the frequency interval from 1014 to 89 x1014 Hz. You have a detector to do the job. What should the temperature of the detector (T’) be?
Explain your answer.
Possible options are T’>T, T’=T, T’<T, T=0K, or is the temperature of the detector is irrelevant to the measurement?

Homework Equations

The Attempt at a Solution

 

[shamone]

you post very interesting questions, however I am also no help at this question either.

 

[diya qasem]

thank you

 

[shamone]

Anybody have an answer for this? I have been wracking my brains all night but cannot come up with a solution :(

 

[shabakk222]

shouldn't T'=T because if the temp of the detector was higher than in than in the cavity, it would radiate and effect the result, and same if it was colder, it would absorb radiation from the cavity to come up to equilibrium...