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Planck's law of radiation? 
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#1
Apr1104, 09:14 PM

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? 


#2
Apr1204, 03:44 AM

Emeritus
Sci Advisor
PF Gold
P: 10,429

If so, simply integrate your formula over all values of wavelength. Here's a page that might help: http://hyperphysics.phyastr.gsu.edu...tefan2.html#c1  Warren 


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