8nhu 3 ehu/KT – 1 1 u(v, T) = (8) dv u(v, T) (9) 15h3 1. Prove that Equation (8) at the limit of hv/kT <1 becomes the Rayleigh-Jeans equation: u(v, T) = (10) -kT while at the high temperature limit, hv/kT > 1, becomes the Wien result in the form of u(v, T) - ave-/T. (11) Determine a and b! 2. Prove equation (9).
8nhu 3 ehu/KT – 1 1 u(v, T) = (8) dv u(v, T) (9) 15h3 1. Prove that Equation (8) at the limit of hv/kT <1 becomes the Rayleigh-Jeans equation: u(v, T) = (10) -kT while at the high temperature limit, hv/kT > 1, becomes the Wien result in the form of u(v, T) - ave-/T. (11) Determine a and b! 2. Prove equation (9).
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u(v, T) =
(8)
3 ehu/kT - 1
| dv u(v,T)
(9)
%3D
15h3
1. Prove that Equation (8) at the limit of hv/kT « 1 becomes the Rayleigh-Jeans equation:
u(v, T) -
(10)
-kT
while at the high temperature limit, hv/kT > 1, becomes the Wien result in the form of
u(v, T) - av'e-b/T.
(11)
Determine a and b!
2. Prove equation (9).
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