Hello.. i need help with two homework questions if anyone would be so kind.

I do not know where to begin on solving these questions.

The questions are as follows:



1. If the angular frequencies of waves in a three-dimensional box of sides L generalize to:



Ω = πc/L (nx²+ny²+nz²)^1/2



Where all n are integers, show that the number of distinct states in the frequency interval f to f + Δf (f=Ω/2π) is given by (where f is large)



dN = 4π(L^3/c^3)f²df



2. Let the energy density in the frequency interval f to f + df within a blackbody at temperature T be dU(f,T). Show that the power emitted through a small hole of area ΔA in the container is



c/4dU(f,T)ΔA





THANK YOU!

Amit Saxena , 11 Years ago

Grade upto college level