ay45c3-page23 - λ (cm) 10 2 104 106 1 1010 108 10 −2 10...

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Unformatted text preview: λ (cm) 10 2 104 106 1 1010 108 10 −2 10 −6 v(Hz) 1014 1012 1016 B ν (erg sec −1 cm −2 Hz −1 ster −1 ) 10 10 20 Bλ 10 22 10 8 Κ 1040 107 Κ 108 1035 10 6 Κ 4 1030 10 5 Κ 104 Κ 1 25 10 10 3 Κ 1020 10 2 Κ 10−4 1015 10 Κ 10−8 10 18 1045 1012 10 10 −10 10 −12 1010 1Κ 10 5 −12 B (erg sec −1 cm −2 Hz −1 ster −1 ) λ 106 1 10 −16 10 −5 10−20 104 10 −10 106 10 8 1010 104 10 2 1 1012 Bν 106 10 1014 1016 1018 v(Hz) −2 10 −4 10 −6 10−8 λ (cm) 10 20 1022 10 −10 10 −12 The peak of the black-body spectrum is found, letting x = h=kT , as follows: 3 2x 3x d 0 = dx exx 1 = 3x (e(ex 1)1)2 x e ) x = 3(1 e x) ! ) (e.g. by trial and error) x  2:82 ; so at the peak hmax = 2:82kT 47 ...
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