8nhv 1 u(v,T) = (8) 3ehu/KT -1 | 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) -kT (10) 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).
8nhv 1 u(v,T) = (8) 3ehu/KT -1 | 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) -kT (10) 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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Transcribed Image Text:8thv
1
u(v, T) =
(8)
3 ehu/kT -1
TkT
15h3
dv u(v, T)
(9)
1. Prove that Equation (8) at the limit of hv/kT « 1 becomes the Rayleigh-Jeans equation:
u(v, T) -
-kT
(10)
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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