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51. (a) Derive Wien's displacement law from Planck's law. S Proceed as follows. In Figure 39.3, notice that the wave- length at which a black body radiates with greatest inten- sity is the wavelength for which the graph of I(A,T) versus has a horizontal tangent. From Equation 39.6, evaluate the derivative dI/d. Set it equal to zero. Solve the result- ing transcendental equation numerically to prove that hc/AkT 4.965... or A the constant as precisely as possible and compare it with Wien's experimental value. T hc/4.965k (b) Evaluate max B max 51. (b) 2.897755 X 10- m. K

51. (a) Derive Wien's displacement law from Planck's law. S Proceed as follows. In Figure 39.3, notice that the wave- length at which a black body radiates with greatest inten- sity is the wavelength for which the graph of I(A,T) versus has a horizontal tangent. From Equation 39.6, evaluate the derivative dI/d. Set it equal to zero. Solve the result- ing transcendental equation numerically to prove that hc/AkT 4.965... or A the constant as precisely as possible and compare it with Wien's experimental value. T hc/4.965k (b) Evaluate max B max 51. (b) 2.897755 X 10- m. K

College Physics
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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Need help with a) and b). second picture is the answer for b)

51. (a) Derive Wien's displacement law from Planck's law. S Proceed as follows. In Figure 39.3, notice that the wave- length at which a black body radiates with greatest inten- sity is the wavelength for which the graph of I(A,T) versus has a horizontal tangent. From Equation 39.6, evaluate the derivative dI/d. Set it equal to zero. Solve the result- ing transcendental equation numerically to prove that hc/AkT 4.965... or A the constant as precisely as possible and compare it with Wien's experimental value. T hc/4.965k (b) Evaluate max B max
Transcribed Image Text:51. (a) Derive Wien's displacement law from Planck's law. S Proceed as follows. In Figure 39.3, notice that the wave- length at which a black body radiates with greatest inten- sity is the wavelength for which the graph of I(A,T) versus has a horizontal tangent. From Equation 39.6, evaluate the derivative dI/d. Set it equal to zero. Solve the result- ing transcendental equation numerically to prove that hc/AkT 4.965... or A the constant as precisely as possible and compare it with Wien's experimental value. T hc/4.965k (b) Evaluate max B max
51. (b) 2.897755 X 10- m. K
Transcribed Image Text:51. (b) 2.897755 X 10- m. K
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