The peak intensity of the CMBR occurs at a wavelength of 1.1 mm. (a) What is the energy in eV of a 1.1-mm photon? (b) There are approximately 109 photons for each massive particle in deep space. Calculate the energy of 109 such photons. (c) If the average massive particle in space has a mass half that of a proton, what energy would be created byconverting its mass to energy? (d) Does this imply that space is “matter dominated”? Explain briefly.

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The peak intensity of the CMBR occurs at a wavelength of 1.1 mm.
 (a) What is the energy in eV of a 1.1-mm photon? (b) There are approximately 109 photons for each massive particle in deep space. Calculate the energy of 109 such photons. (c) If the average massive particle in space has a mass half that of a proton, what energy would be created by
converting its mass to energy? (d) Does this imply that space is “matter dominated”? Explain briefly.

Expert Solution
Part (a)

The wavelength,

Physics homework question answer, step 1, image 1

Step 2

Planck’s constant,

Physics homework question answer, step 2, image 1

Step 3

The speed of light,

Physics homework question answer, step 3, image 1

Step 4

The energy in eV,

Physics homework question answer, step 4, image 1

Step 5

The energy in eV of a 1.1-mm photon,

Physics homework question answer, step 5, image 1

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