Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
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Chapter 46, Problem 17P
To determine
The speed of each pion.
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A K0 particle at rest decays into a π+ and a π−. The mass of the K0 is 497.7 MeV/c2 and the mass of each pion is 139.6 MeV/c2. What will be the speed of each of the pions?
A K0 meson (mass 497.61 MeV/c2) decays to a π+, π− pair with a mean lifetime of 0.89 ×-10s. Suppose the K0 has a kinetic energy of 276 MeV when it decays, and that the two π mesons emerge at equal angles to the original K0 direction.Calculate the kinetic energy of each π meson and the opening angle between them. The mass of a π meson is 139.57 MeV/c2.
A neutral rho particle decays from rest into two pions through the
following decay reaction:
The masses of the particles are:
p° = 775 MeV/c?, Tt = 140 MeV/c², 7¯ = 140 MeV/c?,
What is the kinetic energy of the n+ immediately after the decay?
Express your answer in units of MeV.
Answer:
Chapter 46 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Ch. 46.2 - Prob. 46.1QQCh. 46.5 - Prob. 46.3QQCh. 46.5 - Prob. 46.4QQCh. 46.8 - Prob. 46.5QQCh. 46.8 - Prob. 46.6QQCh. 46 - Prob. 1OQCh. 46 - Prob. 2OQCh. 46 - Prob. 3OQCh. 46 - Prob. 4OQCh. 46 - Prob. 5OQ
Ch. 46 - Prob. 6OQCh. 46 - Prob. 7OQCh. 46 - Prob. 8OQCh. 46 - Prob. 1CQCh. 46 - Prob. 2CQCh. 46 - Prob. 3CQCh. 46 - Prob. 4CQCh. 46 - Prob. 5CQCh. 46 - Prob. 6CQCh. 46 - Prob. 7CQCh. 46 - Prob. 8CQCh. 46 - Prob. 9CQCh. 46 - Prob. 10CQCh. 46 - Prob. 11CQCh. 46 - Prob. 12CQCh. 46 - Prob. 13CQCh. 46 - Prob. 1PCh. 46 - Prob. 2PCh. 46 - Prob. 3PCh. 46 - Prob. 4PCh. 46 - Prob. 5PCh. 46 - Prob. 6PCh. 46 - Prob. 7PCh. 46 - Prob. 8PCh. 46 - Prob. 9PCh. 46 - Prob. 10PCh. 46 - Prob. 11PCh. 46 - Prob. 12PCh. 46 - Prob. 13PCh. 46 - Prob. 14PCh. 46 - Prob. 15PCh. 46 - Prob. 16PCh. 46 - Prob. 17PCh. 46 - Prob. 18PCh. 46 - Prob. 19PCh. 46 - Prob. 20PCh. 46 - Prob. 21PCh. 46 - Prob. 22PCh. 46 - Prob. 23PCh. 46 - Prob. 24PCh. 46 - Prob. 25PCh. 46 - Prob. 26PCh. 46 - Prob. 27PCh. 46 - Prob. 28PCh. 46 - Prob. 29PCh. 46 - Prob. 30PCh. 46 - Prob. 31PCh. 46 - Prob. 32PCh. 46 - Prob. 33PCh. 46 - Prob. 34PCh. 46 - Prob. 35PCh. 46 - Prob. 36PCh. 46 - Prob. 37PCh. 46 - Prob. 38PCh. 46 - Prob. 39PCh. 46 - Prob. 40PCh. 46 - Prob. 41PCh. 46 - Prob. 42PCh. 46 - Prob. 43PCh. 46 - Prob. 44PCh. 46 - The various spectral lines observed in the light...Ch. 46 - Prob. 47PCh. 46 - Prob. 48PCh. 46 - Prob. 49PCh. 46 - Prob. 50PCh. 46 - Prob. 51APCh. 46 - Prob. 52APCh. 46 - Prob. 53APCh. 46 - Prob. 54APCh. 46 - Prob. 55APCh. 46 - Prob. 56APCh. 46 - Prob. 57APCh. 46 - Prob. 58APCh. 46 - An unstable particle, initially at rest, decays...Ch. 46 - Prob. 60APCh. 46 - Prob. 61APCh. 46 - Prob. 62APCh. 46 - Prob. 63APCh. 46 - Prob. 64APCh. 46 - Prob. 65APCh. 46 - Prob. 66APCh. 46 - Prob. 67CPCh. 46 - Prob. 68CPCh. 46 - Prob. 69CPCh. 46 - Prob. 70CPCh. 46 - Prob. 71CPCh. 46 - Prob. 72CPCh. 46 - Prob. 73CP
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- 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_forwardThe 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_forwardThe average lifetime of a pi meson in its own frame of reference is 2.6 × 10−8 s. If the meson moves with a speed of 0.95c, what is (a) its mean lifetime as measured by an observer on Earth and (b) the average distance it travels before decaying, as measured by an observer on Earth?arrow_forward
- Suppose 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_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_forwardAn unstable particle, initially at rest, decays into a proton (rest energy 938.3 MeV) and a negative pion (rest energy 139.5 MeV). A uniform magnetic field of 0.250 T exists perpendicular to the velocities of the created particles. The radius of curvature of each track is found to be 1.33 m. What is the rest mass of the original unstable particle?arrow_forward
- (a) Verify from its quark composition that the particle could be an excited state of the proton. (b) There is a spread of about 100 MeV in the decay energy of the interpreted as uncertainty due to its short lifetime. What is its approximate lifetime? (c) Does its decay proceed via the strong or weak force?arrow_forwardThe decay mode of the negative muon is (a) Find the energy released in MeV. (b) Verify that charge and lepton family numbers are conserved.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
- In a nuclear power plain, the fuel rods last 3 yr before they are replaced. The plant can transform energy at a maximum possible rate of 1.00 GW. Supposing it operates at 80.0% capacity for 3.00 yr, what is the loss of mass of the fuel?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_forwardWhat is for a proton having amass energy of 938.3 MeV accelerated through an effective potential of 1.0 TV (teravolt)?arrow_forward
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