13. (a) If X represents the unknown fragment, then the reaction can be written 92235UnGe+→+013282ZAXwhere Ais the mass number and Zis the atomic number of the fragment. Conservation of charge yields 92 + 0 = 32 + Z, so Z= 60. Conservation of mass number yields 235 + 1 = 83 + A, so A= 153. Looking in Appendix F or G for nuclides with Z= 60, we find that the unknown fragment is 60153Nd. (b) We neglect the small kinetic energy and momentum carried by the neutron that triggers the fission event. Then, Q = KGe+ KNd, where KGeis the kinetic energy of the germanium nucleus and KNdis the kinetic energy of the neodymium nucleus. Conservation of momentum yields GGppGeNd+=0. Now, we can write the classical formula for kinetic energy in terms of the magnitude of the momentum
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