Fundamentals of Physics Extended
Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 43, Problem 35P
To determine

To calculate:

the least separation (approximately) can any two protons have at a temperature of 1 x 107K.

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An Erbium-166 nucleus contains 68 protons. The atomic mass of a neutral Erbium-166 atom is 165.930u, where u = 931.5 MeV/c². In this question you may use that the mass of a proton is 938.27 MeV/c², the mass of a neutron is 939.57 MeV/e² and the mass of an electron is 0.511 MeV/c². i. Calculate the nuclear binding energy per nucleon, giving your answer in units of MeV. ii. Electrons with an energy of 0.5 GeV are scattered off the nucleus. Estimate the scattering angle of the first minimum in the resulting diffraction pattern. iii. Briefly comment on whether or not you expect this nucleus to be spherical, and what consequence this has for excited states of the nucleus in the collective model.
One of the end stages of stellar life is a neutron star, where matter collapses and electrons combine with protons to form neutrons. Some liken neutron stars to a single gigantic nucleus. Calculate the radius in meters of a neutron star with a mass 3.34 x 1030 kg, treating it as a giant nucleus. Consider the mass of a nucleon 1.675 x 10-27 kg. Your answer should be in the form of N x 104 years.
Calculate the nuclear binding energy for a helium-5 atom (isotopic mass = 5.012057 u), a sodium-22 atom (isotopic = 21.99443742 u), and a cobalt-60 atom (isotopic mass = 59.9338222 u) I will provide an example for this question. See the image
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