UNDERSTANDING THE UNIVERSE(LL)-W/CODE
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 17, Problem 38QAP
To determine

Mass of neutrino present in 5% of universe.

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The matter density in the Universe today is ?m=2.7×10−27kgm−3. What would be the value of the density parameter, Ω0, if the Hubble constant had the value H0  = 38 km/s/Mpc?
Assume a flat Friedmann-Robertson-Walker universe.Calculate the redshift z at which the temperature of the CMB was T = 10  T0, where T0 is thetemperature of the CMB today. Assuming the universe was matter dominated throughout itsevolution, calculate the time at which T = 10  T0 in Gigayears.
The present number density of electrons in the Universe is the same as that of protons, about 0.2 m-3. Consider a time long before the formation of the microwave background, when the scale factor was x times smaller than its present value.  What was the number density of electrons then? Value: x = 12×106
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