Solve CMB Peak Wavelength & Quark Fates | Astronomy Problem Help

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The discussion focuses on solving two specific astronomy-related questions regarding the Cosmic Microwave Background (CMB) and quark fates in the early universe. The peak wavelength of the CMB at R=0.5 is sought, along with its corresponding temperature. Additionally, the fates of two quarks, Susan and Nick, are explored, particularly their roles in forming protons and neutrons about an hour after the universe's inception. Participants are encouraged to share their calculations and research to facilitate assistance. The emphasis is on understanding the concepts rather than simply completing homework assignments.
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Hi, can anyone help me solve the following questions?

1.What was the peak wavelength of the CMB when R=0.5?
a. What temperature does this correspond to?

2. Two quarks named Susan and Nick existed in the early universe. Susan
became part of a proton and Nick became part of a neutron. What are
two potential fates for both Susan and Nick about an hour into the age of the
universe?
 
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