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# pset6sol - 22.02 Problem Set 6 Solution Krane 3.9 Compute...

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Krane 3.9 Compute the total binding energy and the binding energy per nucleon. [ ] 2 A Z n 1 A Z c ) X ( m Nm ) H ( Zm ) X ( B + = (a) 4 N , 3 Z , 7 A : Li 7 = = = [] MeV 606577 . 5 7 / MeV 246042 . 39 A / ) Li ( B MeV 246042 . 39 MeV c ) c / 502 . 931 ( amu 016003 . 7 amu 008665 . 1 4 amu 007825 . 1 3 ) Li ( B c / MeV 502 . 931 amu 1 amu 008665 . 1 m amu 007825 . 1 ) H ( m amu 016003 . 7 ) Li ( m 7 2 2 7 2 n 1 7 = = = × × × + × = = = = = (b) 10 N , 10 Z , 20 A : Ne 20 = = = [] MeV 032528 . 8 20 / MeV 650561 . 160 A / ) Ne ( B MeV 650561 . 160 MeV c ) c / 502 . 931 ( amu 992436 . 19 amu 008665 . 1 10 amu 007825 . 1 10 ) Ne ( B amu 992436 . 19 ) Ne ( m 20 2 2 20 20 = = = × × × + × = = (c) 30 N , 26 Z , 56 A : Fe 56 = = = [] MeV 790401 . 8 56 / MeV 262478 . 492 A / ) Fe ( B MeV 262478 . 492 MeV c ) c / 502 . 931 ( amu 934939 . 55 amu 008665 . 1 30 amu 007825 . 1 26 ) Fe ( B amu 934939 . 55 ) Fe ( m 56 2 2 56 56 = = = × × × + × = = (d) 143 N , 92 Z , 235 A : U 235 = = = [] MeV 591032 . 7 235 / MeV 892467 . 1783 A / ) U ( B MeV 892467 . 1783 MeV c ) c / 502 . 931 ( amu 043924 . 235 amu 008665 . 1 143 amu 007825 . 1 92 ) U ( B amu 043924 . 235 ) U ( m 235 2 2 235 235 = = = × × × + × = = Krane 3.10 For each of the following nuclei, use the semiempirical mass formula to compute the total binding

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pset6sol - 22.02 Problem Set 6 Solution Krane 3.9 Compute...

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