- #1
johnnyies
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Homework Statement
Estimate the energy density between 499.5 and 499.6 nm emitted by a blackbody at a temperature of 2000 K. Compare to the classical value predicted by the Rayleigh-Jeans law.
Homework Equations
http://en.wikipedia.org/wiki/Planck's_law
The Attempt at a Solution
now I know how to integrate the indefinite integral of the law by setting x = [itex]\frac{hc}{KλT}[/itex] (K = Boltzmann constant)
T = 2000K is substituted in and we use the same substitution for λ^5 of the equation.
However I do not understand how to numerically solve this with λ = 499.5 to 499.6, would we then substitute it to x = [itex]\frac{hc}{KλT}[/itex] and make x the new limits of integration?