The discussion revolves around deriving the Stefan-Boltzmann law from Wien’s law, focusing on the relationships between radiation functions and temperature. Participants are exploring the connections between these two laws in the context of thermal radiation.
The discussion is ongoing, with participants actively seeking clarification on foundational concepts and the relationships between the laws. Some have noted the existence of another thread addressing the same question, indicating a broader interest in the topic.
Participants are working under the constraints of homework rules, which may limit the extent of guidance they can receive. The hints provided suggest reliance on certain equations without proof, which may contribute to the confusion regarding the derivation process.
Tirain said:Homework Statement
Derive Stefan-Boltzmann law from Wien’s law
Hint: you can use (without proof) R(T) = -∞∫∞ R(λ,T)dλ , ρ(λ,T)=(4/c)*R(λ,T)
Homework Equations
wien's law: p(λ,T) = f(λ,T)/^5
Stefan's law : R(T) = σT^4
The Attempt at a Solution
Honestly I am having trouble just starting this problem. I know I would be able to work it out if I knew where to begin.