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 values in your calculations-including answers submitted in WebAssign.) volume term % surface term % Coulomb term symmetry term %
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 values in your calculations-including answers submitted in WebAssign.) volume term % surface term % Coulomb term symmetry term %
Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter14: Nuclear Physics Applications
Section: Chapter Questions
Problem 27P
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Nuclear Fusion
Nuclear fusion is a type of nuclear reaction. In nuclear fusion, two or more than two lighter atomic nuclei combine to form a heavier nucleus. During this process, an enormous amount of energy is released. This energy is called nuclear energy. Nuclear fusion is the energy source of the sun and stars.
Fusion Bomb
A fusion bomb is also known as a thermonuclear bomb or hydrogen bomb which releases a large amount of explosive energy during a nuclear chain reaction when the lighter nuclei in it, combine to form heavier nuclei, and a large amount of radiation is released. It is an uncontrolled, self-sustaining nuclear chain reaction where isotopes of hydrogen combine under very high temperature to form helium. They work on the principle of operation of atomic fusion. The isotopes of Hydrogen are deuterium and tritium, where they combine their masses and have greater mass than the product nuclei, get heated at high temperatures, and releases energy.
Question
Transcribed Image Text: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 values in your calculations-including answers submitted in WebAssign.)
volume term
%
surface term
%
Coulomb term
symmetry term
%
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