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   
 
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
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











 




 




 




 

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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                               