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Unformatted text preview: PHYS122 2010W Assignment 6 Due: 17:00 Thursday 20100304 PHYS122 Assignment 6 UW User ID: Your UW User ID is not the same as your Student Number. Surname: Given Name: 1. (a) (2) Consider the quantity x = hc/λk B T . For what wavelength, λ long , will x be one at room temperature? λ long = (b) (2) What “colour” does this correspond to? (c) (2) Assuming that x as defined in (a) is small, perform a binomial expansion on the exponential in Planck’s Law, I ( λ,T ) = 2 πhc 2 λ 5 ( e hc/λk B T 1 ) , and so find an expression for the long wavelength limit of the spectral radiance. I ( λ,T ) ≈ Page 1 of 5 PHYS122 Assignment 6 UW User ID: Your UW User ID is not the same as your Student Number. Surname: Given Name: (d) (1) Replace the wavelength, λ , with x as defined in (a) in Planck’s expression for the spectral radiance. Calculate the derivative of the resulting expression for the spectral radiance with respect to x and so find an expression for x at which the spectral radiance is an extremum.is an extremum....
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This note was uploaded on 11/14/2010 for the course PHYS PHYS122 taught by Professor O'donovan during the Winter '10 term at Waterloo.
 Winter '10
 O'Donovan
 Physics

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