We need to estimate the temperature at recombination from the figure below. (Estimate a temperature to the nearest 500 K.) Matter dominates Temperature (K) λ = 1010 109 108 107 10⁰ 10° 104 10³ 100 10 1 Formation of helium 1s H !K 1 min Radiation dominates X Electron-positron annihilation 1 hour 1 day 1 yr 100 yr 104 yr Time since Big Bang Energy density equals Recombination Re-ionization (first stars and galaxies) Dark age 10 yr 108 yr ℗ Then use that temperature in Wien's Law to determine the wavelength in nanometers. Round to one significant figure. 2.9 x 106 Now A = 407 x Use Wien's law and the temperature you estimated to calculate the wavelength. nm. 1010 yr

Astronomy
1st Edition
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Chapter29: The Big Bang
Section: Chapter Questions
Problem 26E: Following up on Exercise 29.27 calculate the energy of a typical photon. Assume for this approximate...
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Astronomy Textbook
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We need to estimate the temperature at recombination from the figure below. (Estimate a temperature to the nearest 500 K.)
Temperature (K)
λ =
1010
10⁹
108
107
106
105
104
103
100
10
1
Formation
of helium
1s
Radiation dominates
Electron-positron annihilation
1 min 1 hour 1 day
100 yr
1 yr
104 yr
Time since Big Bang
Energy density equals
matter density
Matter dominates
Recombination
Dark age
106 yr
quest
Re-ionization
(first stars
and galaxies)
108 yr
A = 4.0
Use Wien's law and the temperature you estimated to calculate the wavelength. nm
Now
5088431'3
1010 yr
Ⓡ
Then use that temperature in Wien's Law to determine the wavelength in nanometers. Round to one significant figure.
2.9 x 106
!K
O
Transcribed Image Text:Astronomy Textbook webassign.net/web/Student/Assignment-Responses/submit/dep-2937737/Blags-qutosaves Microsoft Office Fo.. WebAssign We need to estimate the temperature at recombination from the figure below. (Estimate a temperature to the nearest 500 K.) Temperature (K) λ = 1010 10⁹ 108 107 106 105 104 103 100 10 1 Formation of helium 1s Radiation dominates Electron-positron annihilation 1 min 1 hour 1 day 100 yr 1 yr 104 yr Time since Big Bang Energy density equals matter density Matter dominates Recombination Dark age 106 yr quest Re-ionization (first stars and galaxies) 108 yr A = 4.0 Use Wien's law and the temperature you estimated to calculate the wavelength. nm Now 5088431'3 1010 yr Ⓡ Then use that temperature in Wien's Law to determine the wavelength in nanometers. Round to one significant figure. 2.9 x 106 !K O
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