Share
Explore BrainMass

Blackbody Radition in Flatland

Blackbody Radition 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-dimentional 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.

Attachments

Solution Summary

Blackbody Radition in Flatland. Carry out the derivation of u(v, t), the energy per unit area per unit frequency in the electromagnetic field, for the 2-dimentional case, i.e. inside a square cavity of side L held at temperature T.

$2.19