5. Consider the reaction e¯ +pt → n+ +K¯ The mass of the electron (e¯) is 0.51 MeV/c², the mass of the rho (pt) is 775 MeV/c², the mass of the pion (7+) is 140 MeV/c², and the mass of the Kaon (K) is 494 MeV/c2. Suppose this reaction occurs in a frame of reference where the rho is at rest, and the electron is moving with a momentum of 41 keV/c. What are the out-going momenta of the pion and the Kaon as a result of this reaction?
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- B1a) A nuclear power station delivers 1 GW of electricity for a year from uranium fission. Given that a single fission event delivers about 200 MeV of heat, estimate the number of atoms that underwent fission, their mass, and the loss of mass of the fuel elements. b) Uranium 238 has a half-life of about 4.5 billion years. All the 238U now on Earth was created in stars and has been here since the formation of Earth about 4.5 billion years ago. Consider a kilogram of pure 238 U present at the formation of the Earth. i) Calculate the activity of the kilogram at that time. Sketch a graph of the activity of the uranium since then to the present day. Label the axes with appropriate numbers and units. Mark on your graph the half-life and the characteristic decay time. ii) 238 U decays through a chain of thirteen very short-lived radionuclides (longest half- live only 1600 years) before reaching a stable isotope of lead. If what remains of this uranium has for the last few million years been…The decay mode of the negative muon is μ- → e-+v-e +vπ. Find the energy released in MeV.Supply the missing neutrinos in the following reactions or decays. (a) µ+ → e+ + ? (b) ? + p → n + e+ (c) π- → µ- + ? (d) K- → µ- + ? (e) ? + n → p + µ-
- 14. In the β+ decay of nitrogen-12 (12.01864 u) into carbon-12 (12.00000 u), a positron with energy of 11.0 MeVis emitted. What is the energy of the electron neutrino? Assume the mass of the positron is 5.485799 x 10-4 u(same as an electron).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.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.
- what is the rest energy in Mev of an atom with an mass of 9.8 u5. 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.The mass of a sample is 0.91 u. What is its mass in MeV/c2?
- An atom of 239Pu decays into 235U and an alpha particle. How much energy (in MeV) is released due to the decay?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. MeVQuestion 3