1. The document finds the wavelength of blackbody radiation at temperatures of 3 K, 300 K, and 3000 K using Wien's displacement law.
2. At 3 K the wavelength is calculated to be 966 micrometers.
3. At 300 K the wavelength is calculated to be 9.66 millimeters.
4. At 3000 K the wavelength is calculated to be 966 nanometers.
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Black-Body R.doc
1. 1
Find for blackbody radiation
at 3 , 300 ,
and 3000 .
m
a T K b T K
c T K
Solution
3
3
According to Wien displacement
law for a blackbody:
2.90 10 .
2.90 10 .
m
m
T m K
m K
T
2. 2
3
3
3
3
3
6
3
4 3
7
9
( )
2.90 10 .
3
0.966 10 0.966
( )
2.90 10 .
300
0.00966 10
0.00966 9.66 10
9.66 10 9.66
( )
2.90 10 .
3000
9.66 10 10
9.66 10
966 10 966
m
m
m
a
m K
K
X m mm
b
m K
K
X m
mm X mm
X m m
c
m K
K
X X m
X m
X m nm