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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Question
Chapter 43, Problem 10P
(a)
To determine
The energy required to overcome the repulsion.
(b)
To determine
The binding energy of
(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
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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.
Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 43.1 - Prob. 43.1QQCh. 43.5 - Prob. 43.3QQCh. 43.5 - Which of the following is the correct daughter...Ch. 43.8 - When a nucleus undergoes fission, the two daughter...Ch. 43.8 - Prob. 43.6QQCh. 43.10 - Prob. 43.7QQCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4P
Ch. 43 - Prob. 5PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 13PCh. 43 - Prob. 15PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Enter the correct nuclide symbol in each open tan...Ch. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 35PCh. 43 - Prob. 37PCh. 43 - Prob. 39PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 44PCh. 43 - Prob. 45APCh. 43 - Prob. 46APCh. 43 - Prob. 47APCh. 43 - Prob. 48APCh. 43 - Prob. 49APCh. 43 - Prob. 50APCh. 43 - Prob. 51APCh. 43 - Prob. 52APCh. 43 - As part of his discovery of the neutron in 1932,...Ch. 43 - Prob. 55APCh. 43 - Prob. 56APCh. 43 - Prob. 58APCh. 43 - Prob. 59APCh. 43 - Prob. 60APCh. 43 - Prob. 62APCh. 43 - Prob. 63APCh. 43 - Prob. 64APCh. 43 - Prob. 65APCh. 43 - Prob. 66CP
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- (a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forward(a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.arrow_forward(a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?arrow_forward
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