1. Temperature of the Cosmic Microwave Background radiation (CMB) is T= 2.725 K. a) Assuming it has a Planck energy distribution, use Wien's Displacement Law to find the maximum wavelength of the CMB (in metres). b) What is the radiation energy density, u (measured in J/m³) of the CMB? c) Maximum intensity of the CMB occurs at frequency vmax = 160 GHz. Calculate energy (in Joules, J) of one photon at this frequency.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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1. Temperature of the Cosmic Microwave Background radiation (CMB) is
T= 2.725 K.
a) Assuming it has a Planck energy distribution, use Wien's Displacement
Law to find the maximum wavelength of the CMB (in metres).
b) What is the radiation energy density, u (measured in J/m³) of the CMB?
c) Maximum intensity of the CMB occurs at frequency vmax = 160 GHz.
Calculate energy (in Joules, J) of one photon at this frequency.
d) Using the results of (2) and (3), find the number of CMB photons per m3,
Nph •
Transcribed Image Text:1. Temperature of the Cosmic Microwave Background radiation (CMB) is T= 2.725 K. a) Assuming it has a Planck energy distribution, use Wien's Displacement Law to find the maximum wavelength of the CMB (in metres). b) What is the radiation energy density, u (measured in J/m³) of the CMB? c) Maximum intensity of the CMB occurs at frequency vmax = 160 GHz. Calculate energy (in Joules, J) of one photon at this frequency. d) Using the results of (2) and (3), find the number of CMB photons per m3, Nph •
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