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- 3. What magnetic field is required for the 7.0-TeV protons in the 4.25-km radius Large Hadron Collider (LHC)? 4. Show that the energy of a particle (charge q.) in a synchotron, in the relativistic limit (v z c), is given by E = Brc, where E is measured in eV, B is the magnetic field, and r is the radius of the orbit.Determine which of the following decays or reactions is not allowed and explain why. (a) p + p → p + π++Λ+-K0 (b) Λ → p + π0A muon, or mu meson, has the same charge as an electron, but is 207 times as massive. a) Compared with electron-positron pair production, the pair production of a muon and antimuon requires a photon of what energy? E = _____ MeV b) What would be the minimum frequency for such a photon? f = _________ Hz
- 9. Which of the following reactions and decays are possible? For those forbidden, explain what laws are violated? (а) п- +р+п + п?. (b) a+ +p → n+ 7º. (c) n+ +p→p+ e+. (d) p→ e+ + ve. (e) p→n + e+ + Ve- 10. Draw the two Feynman diagrams for electron-electron scattering at the first-order. Draw three distinct second-order diagrams.5. A) Explain the special relativistic expression for energy E=mc^2. B) What is the connection with the nonrelativistic expression for the kinetic energy E= 1/2mv^2? C) Discuss the generation of energy by the unclear processes of fission and fusion.5. Pion beams (*) are used to treat cancer in radiation therapy. The energy comes from the decay of the pions. Negative pions usually decay into a muon and a muon antineutrino. (a) (b) Write out the complete decay of a л into stable particles. How much energy is released from a complete decay? Assume the neutrino masses are negligible. (c) How many pions need to decay to give a dose of 50.0 Gy to 10.0 grams of tissue?
- Consider the reaction 235 U 92 1 0 148 57 87 35 La Br Element Atomic Mass (u) 235 92 U U + 1 U 0 n → U 148 57 La + 235.043923 1.008665 147.932236 86.92071119 87 35 Br + 1 (a) Write the conservation of relativistic energy equation symbolically in terms of the rest energy and the kinetic energy, setting the initial total energy to the final total energy. (Use the following as necessary: m;, mf, KE, KE, and c.) 0 (b) Using values given above, find the total mass of the initial particles (in u). n. (c) Using the values given above, find the total mass of the particles after the reaction takes place (in u). (d) Subtract the final particle mass from the initial particle mass. (Enter your answer in u.) (e) Convert the answer to part (d) to MeV, obtaining the kinetic energy of the daughter particles. Neglect the kinetic energy of the reactants. MeVa) A K° meson (mass 497.61 MeV/c2) decays to a t, T pair with a mean lifetime of 0.89 x 10-10 s. Suppose the K° has a kinetic energy of 276 MeV when it decays, and that the two A mesons emerge at equal angles to the original K° direction. Calculate the kinetic energy of each T meson and the opening angle between them. The mass of a 7 meson is 139.57 MeV/c2.What is the approximate uncertainty in the mass of a muon, as determined from its decay lifetime? Assume it's decay lifetime is 2.30 us. 2.548 x10-4° kg