Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 44, Problem 47CP

(a)

To determine

The age of universe in terms of hubble’s constant.

(b)

To determine

The value of 23H.

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Assume the average density of the Universe is equal to the critical density. (a) Prove that the age of the Universe is given by 2/(3H). (b) Calculate 2/(3H) and express it in years.
(a) Estimate the mass of the luminous matter in the known universe, given there are 1011 galaxies, each containing 1011 stars of average mass 1.5 times that of our Sun. (b) How many protons (the most abundant nuclide) are there in this mass?  (c) Estimate the total number of particles in the observable universe by multiplying the answer to (b) by two, since there is an electron for each proton, and then by 109 , since there are far more particles (such as photons and neutrinos) in space than in luminous matter.
Suppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y ?  (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y , how long would you have to wait on an average to see a single proton decay?
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