University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 11, Problem 72AP
Because of energy loss due to synchrotron
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A positive pion (π+, mass: m = 2.50 × 10-28 kg) at rest decays into a
positive muon (μ+, mass: m₁ = 1.88 × 10-28 kg) and a neutrino.
mμ
(a) How much energy is released in the decay? You may assume the
rest mass of the neutrino is negligible. Give your answer in MeV.
(b) Give one reason why the neutrino is required in this decay. Briefly
explain your answer.
3
3
Consider the nuclear reactionH
4
1
H+H- He + 2,n. The known atomic masses are
4
, He: 4.002603 u
3
H: 3.016049u
1
1
o n:
1.008665 u
What is the energy released in this nuclear reaction? (1 u = 931.5 MeV/c2)
O -15.6 MeV
O 0.065 MeV
-0.0122 MeV
O 11.3 MeV
muon decay. use the expresión
3
Mw
T=
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mac²
mμgw
with the values reported in PDG to estimate the half-life of the muon. Compare the theoretical
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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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- Because of energy loss due to synchrotron radiation in the LHC at CERN, only 5.00 MeV is added to the energy of each proton during each revolution around the main ring. How many revolutions are needed to produce 7.00TeV (7000 GeV) protons, if they are injected with an initial energy of 8.00 GeV?arrow_forwardThe primary decay mode for the negative pion is +v . (a) What is the energy release in MeV in this decay? (b) Using conservation of momentum, how much energy does each of the decay products receive, given the is at rest when it decays? You may assume the muon antineutrino is massless and has momentum p = E/c , just like a photon.arrow_forwardA proton and an antiproton collide headon, with each having a kinetic energy of 7.00 TeV (such as in the LHC at CERN). How much collision energy is available, taking into account the annihilation of the two masses? (Note that this is not significantly greater than the extremely relativistic kinetic energy.)arrow_forward
- The K0 meson is an uncharged member of the particle “zoo” that decays into two charged pions according to K0 → π+ + π−. The pions have opposite charges, as indicated, and the same mass, mπ = 140 MeV/c2. Suppose that a K0 at rest decays into two pions in a bubble chamber in which a magnetic field of 2.0 T is present (see Fig. P2.22). If the radius of curvature of the pions is 34.4 cm, find (a) the momenta and speeds of the pions and (b) the mass of the K0 meson.arrow_forwardIf 1.01030MeV of energy is released in the annihilation of a sphere of matter and antimatter, and the spheres are equal mass, what are the masses of the spheres?arrow_forwardSuppose 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?arrow_forward
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