Name: HE Exit Fullscreen Total Marks: /17 Background: When an unstable (i.e. radioactive nucleus) disintegrates and produces a, B, or y radiation, the process must obey: 1. Conservation of mass/energy. 2. Conservation of charge. 3. Conservation of momentum. Conservation of nucleon number. The atomic mass unit ( u = 1.6605 x 10- kg) is often used in questions dealing with the mass defect and nuclear binding energy. Protons and neutrons have masses slightly larger than 1 u. Use the following, more exact, mass values for this assignment. neutron: m. = 1.008 665 u proton: me = 1.007 825 u 1. Determine the mass defect of the nucleus for cobalt (Z - 27, A = 59), which has an atomic mass of 58.933 198 u. Express your answer in atomic mass units and kilograms. (/2) 2. Find the binding energy (in MeV) for lithium-7 (atomic mass - 7.016 003 u). ( /3) 3. What is the binding energy (in MeV) for oxygen-16 (atomic mass - 15,994 915 u)? (/3) 4. For radium-226 (atomic mass = 226.025 402 u) obtain (a) the mass defect in atomic units, (b) the binding energy in MeV, and (c) the binding energy per nucleon. ( /4) 5. Energy is required to separate a nucleus into its constituent nucleons. This energy is the total binding energy of the nucleus. For example, separating nitrogen-14 into nitrogen-13 and a neutron takes an energy equal to the binding energy of the neutron. Use the following data for this question. nitrogen-14 = 14.003 074 u nitrogen-13 13,005 738 u carbon-13 13.003 355 u a. Find the energy that binds the neutron to the nitrogen-14 nucleus. (/2) b. Similarly, one can speak of the energy that binds a single proton to the nitrogen- 14 nucleus. Determine the energy that binds a proton to that nucleus. (/2) c. Which is greater? Why do you think this is so? ( /1)