University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 11, Problem 23CQ
What is meant by cosmological expansion? Express your answer in terms of a Hubble graph and the red shift of distant starlight.
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Consider the following line element,
ds² = -dt² + a² (t) (dx² + 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.
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.
With the aid of a diagram, explain the physical origin of cosmological redshift in an expanding universe, and how this differs from the Doppler shift due to relative motion. Observations of distantgalaxies indicate that their recession velocities, v, and their distances, d, follow a Hubble Law:v = H0d, where H0 is a constant. Using the analogy of an expanding grid or ruler, demonstratethat Hubble’s Law indicates that the Universe is undergoing uniform expansion.
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? 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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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- In the Check Your Learning section of Example 27.1, you were told that several lines of hydrogen absorption in the visible spectrum have rest wavelengths of 410 nm, 434 nm, 486 nm, and 656 nm. In a spectrum of a distant galaxy, these same lines are observed to have wavelengths of 492 nm, 521 nm, 583 nm, and 787 nm, respectively. The example demonstrated that z=0.20 for the 410 nm line. Show that you will obtain the same redshift regardless of which absorption line you measure.arrow_forwardIs cosmology the study of the Universe, the observable universe, or both? How do you know?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_forward
- Please answer within 90 minutes.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_forwardBriefly 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_forward
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- The Andromeda Galaxy, M31, is the closest large spiral galaxy to our Milky Way. When we look at its chemical spectrum, we see that its hydrogen alpha emission line (Hα) has an observed wavelength of λobs = 655 nm.-Calculate z, being careful with the sign.-How fast is it moving in km/s?-Is it redshifted or blueshifted? Is it moving towards or away from us? answer to three significant figures.arrow_forwardPlease answer within 90 minutes.arrow_forwardSketch a caricature or diagram of the situation or phenomenon showing that Hubble’s Law strongly implies an expanding universe. And provide an explanation.arrow_forward
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