University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 11, Problem 24CQ
Describe the balloon analogy for cosmological expansion. Explain why it only appears that we are at the center of expansion of the universe.
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Please answer within 90 minutes.
Explain what is meant by the term cosmological redshift, and contrast it with the Doppler
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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.
In Chapter 7 we discussed the need for the addition of the cosmological constant A to the
Einstein Field Equations and further to our derived equations.
iii.
Starting with the fluid equation, show that the pressure exerted due to the cosmological
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(Recall that we define an energy density due to the cosmological constant as the
following scaled parameter PA =
THIS IS A COSMOLOGY QUESTION!!!!!!!!
Chapter 11 Solutions
University Physics Volume 3
Ch. 11 - Check Your Understanding What is the baryon number...Ch. 11 - Check Your Understanding What is the lepton number...Ch. 11 - Check Your Understanding What is the strangeness...Ch. 11 - Check Your Understanding What is the baryon number...Ch. 11 - Check Your Understanding How much energy does an...Ch. 11 - Check Your Understanding A charged particle of a...Ch. 11 - Check Your Understanding Why is a symmetric...Ch. 11 - Check Your Understanding The light of a galaxy...Ch. 11 - Check Your Understanding Compare the abundance of...Ch. 11 - What are the four fundamental forces? Briefly...
Ch. 11 - Distinguish fermions and bosons using the concepts...Ch. 11 - List the quark and lepton families.Ch. 11 - Distinguish between elementary particles...Ch. 11 - What are six particle conservation laws? Briefly...Ch. 11 - In general, how do we determine if a particle...Ch. 11 - Why might the detection of panicle interaction...Ch. 11 - What are the six known quarks? Summarize their...Ch. 11 - What is the general quark composition of a baryon?...Ch. 11 - What evidence exists for the existence of quarks?Ch. 11 - Why do baryons with the same quark composition...Ch. 11 - Briefly compare the Van de Graaff accelerator,...Ch. 11 - Describe the basic components and function of...Ch. 11 - What are the subdetectors of the Compact Muon...Ch. 11 - What is the advantage of a colliding-beam...Ch. 11 - An electron appeals in the muon detectors of the...Ch. 11 - What is the Standard Model? Express your answer in...Ch. 11 - Draw a Feynman diagram to represents annihilation...Ch. 11 - What is the motivation behind grand unification...Ch. 11 - If a theory is developed that unifies all four...Ch. 11 - If the Higgs boson is discovered and found to have...Ch. 11 - One of the common decay modes of the is 0 is 0+p ....Ch. 11 - What is meant by cosmological expansion? Express...Ch. 11 - Describe the balloon analogy for cosmological...Ch. 11 - Distances to local galaxies are determined by...Ch. 11 - What is meant by a “cosmological model of the...Ch. 11 - Describe two pieces of evidence that support the...Ch. 11 - In what sense are we, as Newton once said, "a boy...Ch. 11 - If some unknown cause of redshift—such as light...Ch. 11 - In the past, many scientists believed the universe...Ch. 11 - How much energy is released when ail electron and...Ch. 11 - If 1.01030MeV of energy is released in the...Ch. 11 - When both an electron and a positron are at rest,...Ch. 11 - What is the total kinetic energy carried away by...Ch. 11 - Which of the following decays cannot occur because...Ch. 11 - Which of the following reactions cannot because...Ch. 11 - Identify one possible decay for each of the...Ch. 11 - Each of die following strong nuclear reactions is...Ch. 11 - Based on quark composition of a proton, show that...Ch. 11 - Based on the quark composition of a neutron, show...Ch. 11 - Argue that the quark composition given in Table...Ch. 11 - Mesons are fanned from the following combinations...Ch. 11 - Why can’t either set of quarks shown below form...Ch. 11 - Experimental results indicate an isolate particle...Ch. 11 - Express the decays np+e+vand pn+e++vin terms of...Ch. 11 - A charged particle in a 2.0-T magnetic field is...Ch. 11 - A proton track passes through a magnetic field...Ch. 11 - Derive the equation p = 0.3Br using the concepts...Ch. 11 - Assume that beam energy of an electron-positron...Ch. 11 - At full energy, protons in the 2.00-km-diameter...Ch. 11 - Suppose a Wcreated in a particle detector lives...Ch. 11 - What length track does a +traveling at 0.100c...Ch. 11 - The 3.20-km-lfmg SLAC produces a beam of 50.0-GcV...Ch. 11 - Using the Heisenberg uncertainly principle,...Ch. 11 - Use the Heisenberg uncertainly principle to...Ch. 11 - (a) The following decay is mediated by the...Ch. 11 - Assuming conservation of momentum, what is the...Ch. 11 - What is the wavelength of a 50-GeV electron, which...Ch. 11 - The primary decay mode for the negative pion is +v...Ch. 11 - Suppose you are designing a proton decay...Ch. 11 - If the speed of a distant galaxy is 0.99c, what is...Ch. 11 - The distance of a galaxy from our solar system is...Ch. 11 - If a galaxy is 153 Mpc away flora us, how fast do...Ch. 11 - On average, how far away are galaxies that are...Ch. 11 - Our solar system orbits the center of the Milky...Ch. 11 - (a) Wliat is the approximate velocity relative to...Ch. 11 - (a) Calculate the approximate age of the universe...Ch. 11 - The Andromeda Galaxy is the closest large galaxy...Ch. 11 - Show that the velocity of a star orbiting its...Ch. 11 - Experimental results suggest that a muon decays to...Ch. 11 - Each of the following reactions is missing a...Ch. 11 - Because of energy loss due to synchrotron...Ch. 11 - A proton and an antiproton collide head-on, with...Ch. 11 - When an electron and positron collide at the SLAC...Ch. 11 - The core of a star collapses during a supernova,...Ch. 11 - Using the solution from the previous problem, find...Ch. 11 - (a) What Hubble constant corresponds to an...Ch. 11 - Electrons and positions are collided in a circular...Ch. 11 - The intensity of cosmic ray radiation decreases...Ch. 11 - (a) Calculate the relativistic quantity...Ch. 11 - Plans for ail accelerator that produces a...Ch. 11 - In supei novae, neutrinos are produced in huge...Ch. 11 - Assuming a circular orbit for the Sun about the...Ch. 11 - (a) What is the approximate force of gravity on a...Ch. 11 - (a) A panicle and its antiparticle are at rest...Ch. 11 - The peak intensity of the CMBR occurs at a...Ch. 11 - (a) Use the Heisenberg uncertainty principle to...
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- What are the basic observations about the universe that any theory of cosmology must explain?arrow_forwardExplain what we mean when we call the universe homogeneous and isotropic. Would you say that the distribution of elephants on Earth is homogeneous and isotropic? Why?arrow_forwardWhat is the role of symmetry in fundamental physics? Provide examples of symmetry principles in particle physics and cosmology.arrow_forward
- Briefly explain what is meant by “particle horizon” and “event horizon” in cosmology. Calculate the physical particle horizon, RH(t), at time t. Assume a flat FRW universe whichis dominated by a fluid that gives rise to scale factor evolution where n is a constant with 0 < n < 1, and a(t0) = a0.arrow_forwardQuestion A7 Consider the following line element, ds² = - dt² + a² (t) (da² + dy²) + b² (t) dz², 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_forwardPlease answer within 90 minutes.arrow_forward
- Why can't we see past the cosmological horizon? The universe extends only to this horizon. Beyond the cosmological horizon, the Universe curves away from us, like the surface of the Earth. O We do not have telescopes big enough. Beyond the cosmological horizon, we are looking back to a time before the universe had formed.arrow_forwardPlease answer within 90 minutes.arrow_forwardWhat is meant by the critical density of the universe? Why is this quantity important to cosmologists?arrow_forward
- 3. Consider the following two universes: Universe I: flat, matter-dominated with no cosmological constant or radiation, in which a(t) = (t/to)2/3. Universe II: flat, radiation-dominated with no cosmological constant or matter, in which a(t) = (t/to) ¹/². a. Which universe is expanding the fastest? b. For each case, use the Hubble law to show that to = 3/(2H₁) and to = 1/(2H₁) for universes I and II respectively. c. Based on the previous question, which universe would be the youngest assuming a given Ho value?arrow_forward1. Assume a flat Friedmann-Robertson-Walker universe dominated by a cosmological constant. Calculate the time evolution of the scale factor a. Choose as initialcondition a(t0) = a0.2. Using the energy conservation equation, derive the equation of state for a cosmological constant.3. Assume an open Friedmann-Robertson-Walker universe dominated by its curvature.Calculate the time evolution of the scale factor a. Choose as initial condition a(t0) =a0.arrow_forwardThis 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 ?arrow_forward
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