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    Blackbody Radition in Flatland

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    Blackbody Radiation in Flatland
    a) Carry out the derivation of u(v,t), the energy per unit area per unit frequency in the electromagnetic field, for the 2-dimensional case, i.e. inside a square cavity of side L held at temperature T. Find the total energy in the square and show that it's of the form:
    U(T) = (L^2)a(T^n)
    and determine n and a in mks units.
    (v is frequency)

    *note: in Stefan-Boltzmann expression U(T)=aT^4
    where a = 705662 x 10^(-16) J/m^(3)*K^4

    b) Carry out the derivation of the factor f that allows the total radiation per second per unit length of the edge of the square to be written:
    E(f) = fcu(T)

    c) Determine the frequency v,max where u(vT) is a max when T = 300K

    You can use handwriting in the explanation if necessary.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:59 pm ad1c9bdddf
    https://brainmass.com/physics/blackbody-radiation/blackbody-radiation-flatland-20664

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    Dear Student,

    Please find the solution in the attachments. Since the problem involved lot of explaination, I prefered my own writing.

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:59 pm ad1c9bdddf>
    https://brainmass.com/physics/blackbody-radiation/blackbody-radiation-flatland-20664

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