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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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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.
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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