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morbidwork
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Homework Statement
u(f, T) = (8 pi h f^3)/(c^3 (e^(h f/ k T) - 1))
find an equation for the frequency, fmax, at which the energy density, u, is a maximum.
Homework Equations
C,h,pi, and k are constants.
The Attempt at a Solution
I took the derivative and set the equation equal to 0. My problem is I end up with a non-analytical equation. Instead I end up with the transcendental equation:
3(e^x - 1) - x e^x = 0 which I am not sure how to solve I know I must use Lambert's Product Law but I am unsure of how the W function works.edit
as well x = (h f)/(k T)
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