1. Physics
2. Quantum Physics
3. Blackbody Radiation
4. 20664

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.

Attachments

• Reference for Question1.jpg