For a black body, the temperature and the wavelength of emission maximum, max , are related

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For a black body, the temperature and the wavelength of emission maximum, λmax, are related by Wien’s law, λmax T = 1/5c, where c2=hc/k (see Problem 7A.3). Values of λmax from a small pinhole in an electrically heated container were determined at a series of temperatures, and the results are given in the following table. Deduce a value for Planck’s constant.


Data in  Problem 7A.3

Derive Wien’s law, that λmaxT is a constant, where λmax is the wavelength corresponding to maximum in the Planck distribution at the temperature T, and deduce an expression for the constant as a multiple of the second radiation constant, c2=hc/k. 

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