Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Question
Chapter 15, Problem 13P
(a)
To determine
The threshold kinetic energy of the incident proton required for the production of an antiproton.
(b)
To determine
The threshold kinetic energy of the incident proton required for the production of an antineutron.
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A muon (mμc2 = 105.7 MeV) at rest decays into a electron (mec2 = 0.511 MeV) and a neutrino (whose mass is very nearly zero).
What is the Kelectron and Kneutrino in MeV?
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An antiproton p has the same rest energy as a proton. It is created inthe reaction p + p → p + p + p + p. In an experiment, protons at rest in the laboratory are bombarded with protons of kinetic energy Ek, which must be great enough so that kinetic energy equal to 2mc2 can be converted into the rest energy of the two particles. In the frame of the laboratory, the total kinetic energy cannot be converted into rest energy because of conservation of momentum. However, in the zero-momentumreference frame in which the two initial protons are moving toward each other with equal speed u, the total kinetic energy can be converted into rest energy.
(a) Find the speed of each proton u such that the total kinetic energy in the zero-momentum frame is 2mc2.
(b) Transform to the laboratory’s frame in which one proton is at rest, and find the speed u of the other proton.
(c) Show that the kinetic energy of the moving proton in the laboratory’s frame is Ek = 6mc2 . Incidentally this tells you why…
Chapter 15 Solutions
Modern Physics
Ch. 15.6 - Prob. 2ECh. 15.7 - Prob. 3ECh. 15 - Prob. 1QCh. 15 - Prob. 2QCh. 15 - Prob. 3QCh. 15 - Prob. 4QCh. 15 - Prob. 5QCh. 15 - Prob. 6QCh. 15 - Prob. 7QCh. 15 - Prob. 9Q
Ch. 15 - Prob. 10QCh. 15 - Prob. 11QCh. 15 - Prob. 12QCh. 15 - Prob. 14QCh. 15 - Prob. 15QCh. 15 - Prob. 16QCh. 15 - Prob. 17QCh. 15 - Prob. 18QCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - An unstable particle, initially at rest, decays...Ch. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Prob. 31PCh. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Prob. 35PCh. 15 - Prob. 36P
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- 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_forwardA pion at rest (m = 273me) decays to a muon (m = 207me) and an antineutrino (mp 0). The reaction is written + v. Find (a) the kinetic energy of the muon and (b) the energy of the antineutrino in electron volts.arrow_forwardIf the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?arrow_forward
- The 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_forward(a) Do all particles having strangeness also have at least one strange quark in them? (b) Do all hadrons with a strange quark also have nonzero strangeness?arrow_forwardA meson is a particle that decays into a muon and a massless particle. The meson has a rest mass energy of 139.6 MeV, and the muon has a rest mass energy of 105.7 MeV. Suppose the meson is at rest and all of the missing mass goes into the muon's kinetic energy. How fast will the muon move?arrow_forward
- An object with a rest mass of 13722.4 MeV/c2 is moving with a B(beta) of 0.496. What is the relativistic kinetic energy (in MeV) of this object?arrow_forwardWhat lifetime do you expect for an antineutron isolated from normal matter?arrow_forwardA proton‑antiproton annihilation takes place, leaving two photons with a combined energy of 3.50 GeV. Find the kinetic energy Kp of the proton if the proton had the same kinetic energy as the antiproton. Kp = ? eV Find the kinetic energy K'p of the proton if the proton had 3.25 times as much kinetic energy as the antiproton. K'p = ? eVarrow_forward
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