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Use Planck’s radiation law to derive the Stefan-Boltzmann

  • #1

Homework Statement



a) Use Planck’s radiation law to derive the Stefan-Boltzmann law for the case of zero background
temperature (i.e., T0 = 0).


Homework Equations


http://csep10.phys.utk.edu/astr162/lect/light/plancklaw.gif


The Attempt at a Solution



So I know we are suppose to integrate over all wavelength but I dont' know what should the limit be
 

Answers and Replies

  • #2
cepheid
Staff Emeritus
Science Advisor
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Homework Statement



a) Use Planck’s radiation law to derive the Stefan-Boltzmann law for the case of zero background
temperature (i.e., T0 = 0).


Homework Equations


http://csep10.phys.utk.edu/astr162/lect/light/plancklaw.gif


The Attempt at a Solution



So I know we are suppose to integrate over all wavelength but I dont' know what should the limit be
Well, what do you think ALL possible wavelengths means? What is the shortest possible wavelength? (Hint: it can be made arbitrarily short). What is the longest possible wavelength? (Hint: it can be made arbitrarily long).
 

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