It can be shown that Planck\'s distribution law can also be written in the follo

Question

It can be shown that Planck's distribution law can also be written in the following form (by substituting the relationship between frequency and wavelength and considering dnu/dlambda do not worry about the details): rho(lambda, T) = 8pihc / lambda5 1 / ehc / elambdakT - 1 Let x = hc / lambdakT and find the wavelength at which rho is at its maximum. Proceed by taking the proper derivative, setting equal to zero and evaluate your answer graphically. Note that your answer will be temperature-dependent. Use your answer to find the temperature at which rho has a maximum at 600 nm.

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