(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

By direct calculation, derive and expression for the wavelength λ(max) at which blackbody radiation intensity is a maximum

2. Relevant equations

Planck's law for the intensity distribution of blackbody radiation as a function of wavelength λ and the blackbody temperature T is given by

I(λ,T) = (2pi)hc^2/(λ^5)(e^((hc)/λkT) -1)

h is planck's constant 6.626 x10^(-34)

k is blotzman constant 1.38066 x10^(-23)

c is speed of light

3. The attempt at a solution

(-5(2pi)(hc^2)λ^(-6))/(e^(hc)/(λkT) - 1) + λ^(-5)(2pi)(hc^2)(-1)(e^((hc)/(λkT)) -1)^(-2)((-hc)/(kTλ^2))

I used the product rule to get to the answer. I have not yet simplified I am wondering if I have even started the problem correctly.

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# Homework Help: Blackbody radiation intensity find maximum

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