Fundamentals of Physics Problem Set 3: Nuclear Physics, Exercises of Physics Fundamentals

Download Fundamentals of Physics Problem Set 3: Nuclear Physics and more Exercises Physics Fundamentals in PDF only on Docsity! FUNDAMENTALS OF PHYSICS PROBLEM SET # 3 Date: 10. 11. 2010 1. From the nuclides 13C, 14C, 14N, 15C, 15N, 15O, 16N, 16O, identify groups that constitute: (i) Isotopes; (ii) Isotones; and (iii) Isobars. 2. From the basic mass data, find the energy equivalent of the mass of: (i) an electron; (ii) a proton; (iii) a neutron. 3. Find the mass defect, binding energy, and average binding energy per nucleon for: (i) 12C; (ii) 60Co; (iii) 127I; and (iv) 235U. 4. 226Ra undergoes alpha decay to the ground state of the daughter nuclide in 94% of the decays and to its 0.19 MeV level in all the rest. (a) Find the kinetic energy of the emitted alpha particles in the two modes of decay. (b) What is the total energy released when 106 atoms of 226Ra undergo decay? 5. From the atomic mass data and the MIRD data for the decay of 60Co, determine the total amount of energy released, as well as the respective amounts of energy taken by beta particles, gamma photons, internal conversion electrons, and neutrinos, as a result of the decay of 106 atoms of 60Co. 6. 198Au undergoes - decay to the 1.088 MeV level of the daughter in 1.3% of the decays, to the 0.412 MeV level in 98.6% of the decays and to the ground state in the rest. (a) Draw a decay scheme based on these data; (b) Find the beta disintegration energy; (c) Estimate the maximum and average kinetic energy of the emitted - in each of the decays; (d) Find the energy of the emitted gamma photons; (e) If BK = 82 keV, find the kinetic energy of the internal conversion electrons corresponding to each gamma transition. 7. 18F decays to the ground state of 18O through + emission as well as through electron capture. (a) Find the beta disintegration energy for each mode of decay; (b) How much energy is carried away by the neutrino in each mode of decay? (c) How much gamma energy is generated as a consequence of each decay mode? 8. 192Ir decays through - emission in 4.9% of the decays and through electron capture in all the rest. All the decays end at the ground state of the daughters. (a) Find the beta disintegration energy for both modes of decay. (b) Estimate the energy deposited within a patient’s body if 106 atoms of 192Ir undergo decay within the body? Continued overleaf… docsity.com