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 %

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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