COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 26, Problem 27QAP
To determine
The order of magnitude of atomic ionization energies and its comparison with the nuclear binding energy
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Compute the approximate nuclear radius of:
U
(ن)
(d)
Nit
-12
I allatiun c
Actinium-89
The liquid drop model may be used to determine the nuclear binding energy for an isotope. This model uses the semiempirical binding energy formula, which takes into consideration four major effects (one term per effect) that contribute to the nuclear binding energy. The semiempirical binding energy formula may be expressed as:
Z(Z - 1)
C3
A1/3
(N – z)2
E, = C;A – C,A?/3
A
The first term is the volume term, the second is the surface term, the third is the Coulomb term, and the fourth is the symmetry term. For nuclei having A 2 15, the constants have the following values:
= 15.7 MeV, C, = 17.8 MeV, C3
= 0.71 MeV, and C.
= 23.6 MeV
56
(a) Use the semiempirical binding energy formula to determine the nuclear binding energy (in MeV) for the isotope
Fe.
26
MeV
(b) Determine the percentage contribution to the binding energy by each of the four terms. (You should expect positive and negative values, but the sum should be 100%. Due to the nature of this problem, do not use rounded intermediate…
Compute the approximate nuclear radius of:
(b) Nitrogen-14
Chapter 26 Solutions
COLLEGE PHYSICS
Ch. 26 - Prob. 1QAPCh. 26 - Prob. 2QAPCh. 26 - Prob. 3QAPCh. 26 - Prob. 4QAPCh. 26 - Prob. 5QAPCh. 26 - Prob. 6QAPCh. 26 - Prob. 7QAPCh. 26 - Prob. 8QAPCh. 26 - Prob. 9QAPCh. 26 - Prob. 10QAP
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