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Wavelength for highest radiation per unit wavelength
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[QUOTE="skate_nerd, post: 4520662, member: 462104"] [h2]Homework Statement [/h2] At what wavelength does a cavity at 6000 degrees Kelvin radiate most per unit wavelength? [h2]Homework Equations[/h2] $$\rho_T(\lambda)d\lambda=\frac{8\pi{hc}}{\lambda^5}\frac{d\lambda}{e^{{hc}/{\lambda{kT}}}-1}$$ [h2]The Attempt at a Solution[/h2] I'm pretty new to this whole topic, so don't judge me if I'm totally off... First off can't the $$d\lambda$$'s cancel each other out? I'm not sure why the book I am using writes this equation like they did if they could cancel out that easily, but anyways I got rid of them because it seems to just make this more confusing for me otherwise. So I figured if it wants the wavelength for highest radiation (per unit wavelength), I should take the derivative of $$\rho_T(\lambda)d\lambda$$ with respect to the wavelength, and set that expression equal to zero. However now I am at an impasse, seeing as how solving for lambda would probably be really difficult, and I am not even sure if I am working in the correct direction. Any help would be appreciated much. Thanks [/QUOTE]
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Wavelength for highest radiation per unit wavelength
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