by Callisto
 P: 41 Hi, can anybody help me with this problem? Planck's law of radiation for a blackbody radiator quantifies the relation between it's radiative flux and wavelength at a particular temperature. given by: F(w)=C1/[w^5(exp(C2/wT)-1] where, w=wavelength, C1 and C2 are constants and T is the absolute temperature. My problem is , I have to show that the peak radiative flux of the Planck spectrum varies as the fourth power of temperature. Do i need to do some integration of Plancks law to show this? If so, where do i start?
Emeritus
PF Gold
P: 10,428
 I have to show that the peak radiative flux of the Planck spectrum varies as the fourth power of temperature.
I think you mean the "total radiative flux," not the "peak radiative flux."

If so, simply integrate your formula over all values of wavelength.

Here's a page that might help:

http://hyperphysics.phy-astr.gsu.edu...tefan2.html#c1

- Warren

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