Calculate and Plot Radiation Spectra Emitted by a Blackbody ASSIGNMENT 1. Plot t

Question

Calculate and Plot Radiation Spectra Emitted by a Blackbody ASSIGNMENT 1. Plot the energy intensity spectrums, u(1,7), on the same scatter graph that are emitted by blackbodies at three different surface temperatures using the Planck Radiation Law. The three temperatures under consideration are: a) 6000 OK. b) 5000 OK. c) 4000 OK. Find the wavelength at the peak of the energy intensity distribution using Wien 2. displacement law 3. Locate the peak of the intensity curve and compare to the result from Wien's Displacement Law 4. Use the Stefan-Boltzmann law to compute the total radiated power per unit surface area for each of the temperatures. 5. The area under the intensity curve multiplied by should also give the total radiated power per unit surface area. Numerically integrate the area under the intensity curves and compare to the result from the Stefan-Boltzmann Law 6. Your final report should be a fully annotated spreadsheet that addresses all the tasks in parts 1-5 above. Report due 8:00am Tuesday Feb17, 2015. Note: You may use MATLAB instead of Excel. If so, you should use the "publish" feature to create your final document. BACKGROUND: The mean properties of electromagnetic radiation emitted from matter are approximated by a simple set of radiation laws, and apply when the emitter is a blackbody radiator. Although stars, humans and the earth are not perfect blackbodies, these laws give a reasonably good approximation of the radiation emitted by all three objects PLANCKRADIATION LAW: This law describes the energy density of the radiation per unit surface area emitted by a black body as a function of wavelength and surface temperature 2hc hc/akTT Where, un, 7) is the energy intensity emitted at wavelength 1 and temperature TOKelvin) Planck's Constant Boltzmann Constant Speed of Light

Explanation / Answer

wiens displacemnet law

(wavelength)peakT=constant

so (wavelength)peak=constant/T

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