30_InstSolManual_PDF_Part1 - NUCLEAR AND HIGH-ENERGY...

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30-1 N UCLEAR AND H IGH -E NERGY P HYSICS 30 Answers to Multiple-Choice Problems 1. A 2. C 3. A, C, D 4. C, D 5. D 6. A, D 7. A, D 8. B 9. D 10. E 11. B 12. A 13. B 14. B 15. A Solutions to Problems 30.1. Set Up: In the symbol Z is the number of protons and A is the number of nucleons. The number of neutrons is Solve: (a) There are 10 protons and 11 neutrons. (b) There are 30 protons and 35 neutrons. (c) There are 47 protons and 61 neutrons. 30.2. Set Up: with with Solve: (a) (b) (c) 30.3. Set Up: The volume of a sphere is The empirical formula for the radius is where Density is Solve: (a) so V is proportional to A . (b) Neutrons and protons have very similar masses and A is the total number of neutrons and protons in the nucleus. (c) which is independent of A . This is times the density of lead and is similar to the density of a neutron star. Reflect: The mass of an atom is close to the mass of the nucleus but the volume of the nucleus is much less than the volume of the atom, so the average density of the atom is much less than the density of the nucleus. Neutron stars are thought to be composed of nuclear matter; they are essentially one very large nucleus.
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