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

[modphysnoob]

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

 

[cepheid]

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).