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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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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