HW4-5 - 4-3 A nuclear scientist attempts to perform...

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Unformatted text preview: 4-3 A nuclear scientist attempts to perform experiments on the stable nuclide ~~Fe. Determine the energy (in Me V) the scientist will need to 1. remove a single neutron. 2. remove a single proton. 3. completely dismantle the nucleus into its individual nucleons. 4. fission it symmetrically into two identical lighter nuclides ~gAI. Solution: Atomic massesfrom Appendix B are used in the solution. (a) The energy neededis the neutron separation energy. From Eq. (4.13) we obtain Sn = {M(~~Fe) + mn -M(~~Fe)} ~ = 11.20 MeV. (b) The energy neededis the proton separation energy. From Eq. (4.15) we obtain 8" = {M(~~Mn) +MGH) -M(~~Fe)}c2 = 10.18 MeV. (c) The energy needed is the binding energy of ~gFe. From Eq. (4.12) we obtain BE(~~Fe)= {26M(lH) + 29mn -M(~~Fe)} C2= 492.25 MeV. (d) Symmetric fission would give ~gFe -+ 2 [~~AI]. The energy required is Ef = {M (~gFe) -2M (~~AI)} c2 = 26.90 MeV. 6. Write formulas for the Q-values of the reactions shown in Section 4.4. With these formulas, evaluate the Q-values. Solution: For the binary reaction x + X -+ Y + y, the Q value is given by Q = [(Mx + Mx) -(My + My)]c2, Results are summarized below. July 24. 2002 5. ...
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This note was uploaded on 02/01/2010 for the course ECE 4130 taught by Professor Cady during the Spring '06 term at Cornell University (Engineering School).

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