In addition to the "distribution law" - which you have just plotted - Wien also determined a "displace- ment law" which describes the color of the peak in the blackbody spectrum according to b Amax = T: (1) Here b is some constant which we will determine. (a) Set = 0 to find the wavelength Amax that corresponds to the maximum value of u(^), and use your result to determine the value of the constant b defined in equation (1) above. You should find that b = 0.2014hc/kB, or about 2.9 x 10-3 m · K, a value known as Wien's constant.
In addition to the "distribution law" - which you have just plotted - Wien also determined a "displace- ment law" which describes the color of the peak in the blackbody spectrum according to b Amax = T: (1) Here b is some constant which we will determine. (a) Set = 0 to find the wavelength Amax that corresponds to the maximum value of u(^), and use your result to determine the value of the constant b defined in equation (1) above. You should find that b = 0.2014hc/kB, or about 2.9 x 10-3 m · K, a value known as Wien's constant.
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Transcribed Image Text:In addition to the "distribution law" - which you have just plotted - Wien also determined a "displace-
ment law" which describes the color of the peak in the blackbody spectrum according to
b
Amax = 7
(1)
Here b is some constant which we will determine.
(a) Set 4 = 0 to find the wavelength Amax that corresponds to the maximum value of u(A), and use
your result to determine the value of the constant b defined in equation (1) above. You should
find that b = 0.2014hc/kB, or about 2.9 × 10-3 m · K, a value known as Wien's constant.
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