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The total power per unit area radiated by a black body at a temperature Tis the area under the I(A,T')-versus-A curve as shown in Figure S9.3. (a) Show that this power per unit area is | 1(1,T) da = oT* where I(A,T') is given by Planck's radiation law and o is a constant independent of T. This result is known as Stefan's law. (See Section 19.6.) To carry out the integration, you should make the change of variable x= hc/Ak,Tand use " x* dx _ m* 15 (b) Show that the Stefan-Boltzmann constant o has the value = 5.67 x 10-8 W/m? - K 15c

The total power per unit area radiated by a black body at a temperature Tis the area under the I(A,T')-versus-A curve as shown in Figure S9.3. (a) Show that this power per unit area is | 1(1,T) da = oT* where I(A,T') is given by Planck's radiation law and o is a constant independent of T. This result is known as Stefan's law. (See Section 19.6.) To carry out the integration, you should make the change of variable x= hc/Ak,Tand use " x* dx _ m* 15 (b) Show that the Stefan-Boltzmann constant o has the value = 5.67 x 10-8 W/m? - K 15c

Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter39: Introduction To Quantum Physics
Section: Chapter Questions
Problem 49CP
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The total power per unit area radiated by a black body at a temperature Tis the area under the I(A,T')-versus-A curve as shown in Figure S9.3. (a) Show that this power per unit area is | 1(1,T) da = oT* where I(A,T') is given by Planck's radiation law and o is a constant independent of T. This result is known as Stefan's law. (See Section 19.6.) To carry out the integration, you should make the change of variable x= hc/Ak,Tand use " x* dx _ m* 15 (b) Show that the Stefan-Boltzmann constant o has the value = 5.67 x 10-8 W/m? - K 15c
Transcribed Image Text:The total power per unit area radiated by a black body at a temperature Tis the area under the I(A,T')-versus-A curve as shown in Figure S9.3. (a) Show that this power per unit area is | 1(1,T) da = oT* where I(A,T') is given by Planck's radiation law and o is a constant independent of T. This result is known as Stefan's law. (See Section 19.6.) To carry out the integration, you should make the change of variable x= hc/Ak,Tand use " x* dx _ m* 15 (b) Show that the Stefan-Boltzmann constant o has the value = 5.67 x 10-8 W/m? - K 15c
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