University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 44, Problem 44.12DQ
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Why the assumption of placing ourselves at the edge of the universe violates the cosmological principle.
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This a question on Cosmology:
Suppose that you have a flat universe that has matter and dark energy with wd = -2/3 & Ωd,0 =0.7
At the time when light with z = 1 was emitted from a distant galaxy what was the ratio Ɛd /Ɛm ?
Explain why the cosmological principle requires that H0 must have the same value everywhere in space, but does not require that it be constant in time.
Assume a flat Friedmann-Robertson-Walker universe, and that the density parameters for matter,radiation, and the cosmological constant are given today by Ωm,0 = 0.4, Ωrad,0 = 0.01, and ΩΛ,0 =0.59, respectively.a) Calculate the redshifts for matter-radiation and matter-dark energy equality.
b) State what effect the lower ratio of ΩΛ,0/Ωm,0, compared to the standard Λ-CDM cosmology,has on structure formation.
Chapter 44 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 44.1 - Each of the following particles can be exchanged...Ch. 44.2 - Prob. 44.2TYUCh. 44.3 - From conservation of energy, a particle of mass m...Ch. 44.4 - Prob. 44.4TYUCh. 44.5 - Prob. 44.5TYUCh. 44.6 - Is it accurate to say that your body is made of...Ch. 44.7 - Prob. 44.7TYUCh. 44 - Prob. 44.1DQCh. 44 - Prob. 44.2DQCh. 44 - When they were first discovered during the 1930s...
Ch. 44 - The gravitational force between two electrons is...Ch. 44 - Prob. 44.5DQCh. 44 - Prob. 44.6DQCh. 44 - Prob. 44.7DQCh. 44 - Prob. 44.8DQCh. 44 - Prob. 44.9DQCh. 44 - Does the universe have a center? Explain.Ch. 44 - Prob. 44.11DQCh. 44 - Prob. 44.12DQCh. 44 - Prob. 44.13DQCh. 44 - Prob. 44.1ECh. 44 - Prob. 44.2ECh. 44 - Prob. 44.3ECh. 44 - Prob. 44.4ECh. 44 - Prob. 44.5ECh. 44 - Prob. 44.6ECh. 44 - Prob. 44.7ECh. 44 - An electron with a total energy of 30.0 GeV...Ch. 44 - Deuterons in a cyclotron travel in a circle with...Ch. 44 - The magnetic field in a cyclotron that accelerates...Ch. 44 - Prob. 44.11ECh. 44 - Prob. 44.12ECh. 44 - Prob. 44.13ECh. 44 - Prob. 44.14ECh. 44 - Prob. 44.15ECh. 44 - Prob. 44.16ECh. 44 - Prob. 44.17ECh. 44 - Prob. 44.18ECh. 44 - What is the mass (in kg) of the Z0? What is the...Ch. 44 - Prob. 44.20ECh. 44 - Prob. 44.21ECh. 44 - Prob. 44.22ECh. 44 - Prob. 44.23ECh. 44 - Prob. 44.24ECh. 44 - Prob. 44.25ECh. 44 - Prob. 44.26ECh. 44 - Prob. 44.27ECh. 44 - Prob. 44.28ECh. 44 - Prob. 44.29ECh. 44 - Prob. 44.30ECh. 44 - Prob. 44.31ECh. 44 - Prob. 44.32ECh. 44 - Prob. 44.33ECh. 44 - Prob. 44.34ECh. 44 - Prob. 44.35ECh. 44 - Prob. 44.36ECh. 44 - Prob. 44.37ECh. 44 - Prob. 44.38ECh. 44 - Prob. 44.39PCh. 44 - Prob. 44.40PCh. 44 - Prob. 44.41PCh. 44 - Prob. 44.42PCh. 44 - Prob. 44.43PCh. 44 - Prob. 44.44PCh. 44 - Prob. 44.45PCh. 44 - Prob. 44.46PCh. 44 - Prob. 44.47PCh. 44 - Prob. 44.48PCh. 44 - Prob. 44.49PCh. 44 - Prob. 44.50PCh. 44 - Prob. 44.51PCh. 44 - The K0 meson has rest energy 497.7 MeV. A K0 meson...Ch. 44 - DATA While tuning up a medical cyclotron for use...Ch. 44 - Prob. 44.54PCh. 44 - Prob. 44.55PCh. 44 - Consider a collision in which a stationary...Ch. 44 - Prob. 44.57PPCh. 44 - Prob. 44.58PPCh. 44 - Prob. 44.59PP
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- What are the basic observations about the universe that any theory of cosmology must explain?arrow_forwardWhat mechanism can simultaneously solve both the flatness and horizon problems in cosmology?arrow_forwardSuppose the energy density of the cosmological constant is equal to the present critical density En = Ec.0 = 4870MeVm-3. What is the total energy of the cosmological constant within a sphere 1AU in radius?What is the rest energy of the Sun (Eo = Moc²)? Comparing these two numbers, do you expect the cosmological constant to have a significant effect on the motion of planets within the solar system?arrow_forward
- Consider the following line element, ds^2 = −dt^2 + a^2(t) (dx^2 + dy^2) + b^2(t) dz^2, where a(t) and b(t) are distinct functions. State whether or not this line element obeys the Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.arrow_forwardExplain what is meant by the term cosmological redshift, and contrast it with the Doppler shift that is observed when a luminous object recedes from an observer. From the defi- nition of redshift in terms of the observed and emitted wavelengths of photons, obtain an expression that relates redshift to the expansion factor of the Universe. Hence calculate the expansion factor of the Universe while a photon travels from a galaxy with redshift z = 1.arrow_forwardAssume a flat Friedmann-Robertson-Walker universe, and that the density parameters for matter, radiation, and the cosmological constant are given today by m,0 = 0.4, rad,0 = 0.01, and 24,0 0.59, respectively. a) Calculate the redshifts for matter-radiation and matter-dark energy equality. = b) State what effect the lower ratio of 2,0/2m,0, compared to the standard A-CDM cosmology, has on structure formation.arrow_forward
- What is the role of symmetry in fundamental physics? Provide examples of symmetry principles in particle physics and cosmology.arrow_forwarda)Define the term “standard candle” as used in cosmology. b)The flux is defined asf(Dlum) = L/4πD^2lumwhere L is the absolute luminosity and Dlum is the distance to the radiation source (youmay assume z ≪ 1).Assume that we have measured the flux to be f = 7.234 10^−23 Wm^−2 and the absoluteluminosity is given by L = 3.828 x10^26W. Calculate the luminosity distance D lum to the objectin Mpc.arrow_forwardCosmological redshift caused by the expansion of space itself is not quite the same as the redshift caused by the physical motion of a light source away from an observer (that principle is more commonly known by its name, the hint: two words}).arrow_forward
- Use Wien’s law to answer the following questions: (a) The cosmic background radiation peaks in intensity at a wavelength of 1.1 mm. To what temperature does this correspond? (b) About 379 000 y after the big bang, the universe became transparent to electromagnetic radiation. Its temperature then was 2970 K.What was the wavelength at which the background radiation was then most intense?arrow_forwardProblem 1. While Einstein introduced his cosmological constant to get a static universe, he was never satisfiedwith it. This wasn’t merely due to the aesthetics of imposing such a solution. A significant problem with hiscosmological constant was that while it made the universe static, it also made it unstable. To illustrate this,consider Einstein’s static universe to be comprised only of non-relativistic matter with mass density ρ, and acosmological constant, Λ = 4πGρ. Suppose, now, that some of the non-relativistic matter is converted intoradiation (e.g., by stars). Will the universe start to expand or contract ? You must show calculations justifyingyour answer;arrow_forwardIf some unknown cause of red shift—such as light becoming “tired” from traveling long distances through empty space—isdiscovered, what effect would there be on cosmology?arrow_forward
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