1. Differentiate Planck's Law given below to demonstrate that the constant in Wien's Law is 2897 μm K. Where: Ε(λ) -34 r = 2πhс²1-5 hc ekλT - 1 k = 1.38 x 10-23 J K-1 is the Boltzmann constant
1. Differentiate Planck's Law given below to demonstrate that the constant in Wien's Law is 2897 μm K. Where: Ε(λ) -34 r = 2πhс²1-5 hc ekλT - 1 k = 1.38 x 10-23 J K-1 is the Boltzmann constant
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Transcribed Image Text:1. Differentiate Planck's Law given below to demonstrate that the constant in Wien's Law is
2897 μm Κ.
Where:
E(X) =
k = 1.38 x 10-23 J K-1 is the Boltzmann constant
h = 6.63 x 10-34 J s is the Planck's constant
c = 3 x 108 ms ¹ is the speed of light.
Where:
2πhc²1-5
hc
ekλT - 1
2. Show by integration of Planck's Law below that the Stefan Boltzmann constant is
5.67 x 10-8 Wm² K-4.
E(X) =
2πhс²1-5
hc
ekλT - 1
k = 1.38 x 10-23 J K-1 is the Boltzmann constant
h = 6.63 x 10-34 J s is the Planck's constant
c = 3 x 108 ms-1 is the speed of light.
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