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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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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).
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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