Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 43, Problem 10P

(a)

To determine

The energy required to overcome the repulsion.

(b)

To determine

The binding energy of C40a.

(c)

To determine

To compare the result of part (a) and part (b).

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The energy required to construct a uniformly charged sphere of total charge Q and radius R is U = 3keQ2/5R, where ke is the Coulomb constant. Assume a 40Ca nucleus contains 20 protons uniformly distributed in a spherical volume. (a) How much energy is required to counter their electrical repulsion according to the above equation? (b) Calculate the binding energy of 40Ca. (c) Explain what you can conclude from comparing the result of part (b) with that of part (a).
There are three naturally occurring stable isotopes of magnesium: 24MB, 25MG, and 26MB, which have relative abundances on Earth of 79%, 10%, and 11% respectively. Note that the atomic number of magnesium is 12. a) ) A magnesium-24 nucleus can be considered as nucleons uniformly distributed in a spherical volume. Calculate the energy required to construct a uniformly charged sphere, using the following 2Q2 20πεο R equation: U where Q is the total charge and R is the radius. ii) Calculate the binding energy (in eV) of magnesium-24, which has an atomic mass of 23.9850 AMU. The mass of a neutron is 1.0087 amu and the mass of a proton is 1.0073 amu. Using your results from parts (i) and (ii) discuss how the nucleus is held together. b) The radioisotope of magnesium with the longest half-life is magnesium-28, with a half-life of 20.9 hrs. Magnesium-28 decays through B- decay into aluminium-28. With reference to fundamental particles, describe the process which occurs in beta minus decay.…
You are working as a nuclear physicist and are performing research on mirror isobars. Mirror isobars are pairs of nuclei for which Z1 = N2 and Z2 = N1 (the atomic and neutron numbers are interchanged). You wish to investigate the independence of nuclear forces on charge by comparing binding-energy measurements in the laboratory on mirror isobars against a theoretical value for the difference in binding energies. You first find the theoretical difference in binding energies for the two mirror isobars 15/8O and 15/7N.
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