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

For a black body, the temperature and the wavelength of emission maximum, λ_max, are related by Wien’s law, λ_max T = 1/5c₂ , where c₂=hc/k (see Problem 7A.3). Values of λ_max 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 λ_maxT is a constant, where λ_max 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. 

Transcribed Image Text:

Ꮎ{ °C λmax/nm 1000 2181 1500 2000 1600 1240 1035 2500 3000 3500 878 763