Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 44, Problem 14P
To determine
The difference in half life of the two reactions.
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Calculate the total kinetic energy (in MeV) carried away by the pions after this decay: K0 → π+ + π-
Determine which of the following decays or reactions is not allowed and explain why. (a) p + p → p + π++Λ+-K0 (b) Λ → p + π0
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 44 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 44.2 - Prob. 44.1QQCh. 44.5 - Prob. 44.3QQCh. 44.5 - Prob. 44.4QQCh. 44.8 - Prob. 44.5QQCh. 44.8 - Prob. 44.6QQCh. 44 - Prob. 1PCh. 44 - Prob. 2PCh. 44 - Prob. 3PCh. 44 - Prob. 4PCh. 44 - Prob. 5P
Ch. 44 - Prob. 6PCh. 44 - Prob. 7PCh. 44 - Prob. 8PCh. 44 - Prob. 9PCh. 44 - Prob. 10PCh. 44 - Prob. 11PCh. 44 - Prob. 12PCh. 44 - Prob. 13PCh. 44 - Prob. 14PCh. 44 - Prob. 15PCh. 44 - Prob. 16PCh. 44 - Prob. 17PCh. 44 - Prob. 18PCh. 44 - Prob. 20PCh. 44 - Prob. 21PCh. 44 - Prob. 22PCh. 44 - Prob. 23PCh. 44 - Prob. 24PCh. 44 - Prob. 25PCh. 44 - Prob. 26PCh. 44 - Prob. 27PCh. 44 - Prob. 29PCh. 44 - Prob. 30PCh. 44 - The various spectral lines observed in the light...Ch. 44 - Prob. 33PCh. 44 - Prob. 34APCh. 44 - Prob. 35APCh. 44 - Prob. 36APCh. 44 - Prob. 37APCh. 44 - Prob. 38APCh. 44 - Prob. 39APCh. 44 - Prob. 40APCh. 44 - An unstable particle, initially at rest, decays...Ch. 44 - Prob. 42APCh. 44 - Prob. 43APCh. 44 - Prob. 44APCh. 44 - Prob. 45APCh. 44 - Prob. 46CPCh. 44 - Prob. 47CPCh. 44 - Prob. 48CPCh. 44 - Prob. 49CP
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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 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_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_forward
- 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 7.00-TeV (7000 GeV) protons, if they are injected with an initial energy of 8.00 GeV?arrow_forwardThe V-A theory gives the formula for the width (Ãμ) of the muon decay in natural units. 3 I₁ = ħ/t = G₁² m₁5/192³ Convert the above formula in practical units and calculate the mean life time of muon [(GF/(hc) = 1.116 × 10-5 GeV-2, mu 2 = 105.659 MeV]arrow_forwardThe reaction π− + p → K0 + Λ0 occurs with high probability, whereas the reaction π− + p → K0 + n never occurs. Analyze these reactions at the quark level. Show that the first reaction conserves the total number of each type of quark and the second reaction does not.arrow_forward
- 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.arrow_forwardWhen a proton and an antiproton annihilate, the resulting energy can be used to create new particles. One possibility is the creation of electrically neutral particles called neutral pions. A neutral pion has a rest mass of 135 MeV/c2. How many neutral pions could be produced in the annihilation of a proton and an antiproton? Assume the proton and antiproton are moving very slowly as they collide.arrow_forwardDetermine which of the reactions below can occur. For those that cannot occur, determine the conservation law (or laws) that each violates. (a) p → π + + π0 (b) p + p → p + p + π0 (c) π+ → μ+ + υμ (d) n → p + e− +v-e (e) π+ → μ+ + narrow_forward
- Which of the following decays are allowed and which are forbidden? If the decay is allowed, state which interaction is responsible. If it is forbidden, state which conserva- tion law its occurrence would violate. (а) п" > е +y (Б) п° > е + e* + v, + v (c) T* → e¯ + e* + µ* + (d) Aº → T* + a¯ (е) п— р + е+i Vµarrow_forwardb) Neutral and charged pions decay in different ways: 7º → y + y and a → µ +ūµ. Which of the pions do you expect to have a longer life time and why? I need detailed answer with detailed explaation don't copy from anywherearrow_forwardPls solve in detail.arrow_forward
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