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HW4-1 - in atomic mass units so that per nucleo~ BE(~X)IA...

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PROBLEMS 1. Complete the following nuclear reactions basedon the conservation of nucleons: (a) 2~~U + An --+ (7) (b) l~N + An --+ (7) + lH (c) 2~~Ra --+ (7) + ~He (d) (7) --+ 2~gTh + ~He Solution: (a) 2~~U + An --+ 2:~U (b) l~N + An --+ l:C + IH (c) 2~~Ra --+ 2llRn + ~He (d) 234U --+ 230Th + 4He 92 90 2 2. Determine the binding energy (in MeV) per nucleon for the nuclides: (a) 19O, (b) l~O, (c) ~~Fe, and (d) 2~~U. Solution: We use text Eq. (4.12) with masses expressed
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Unformatted text preview: in atomic mass units so that, per nucleo~, BE(~X)IA = [ZMGH) + (A -Z)mn -M(~X)]IA (u) x 931.5 (MeV Ill). Use the atomic mass tables of Ap. B to find masses. The results are (a) BE(1~O)/16 = [8 x 1.007825 + 8 x 1.008664 -15.994914]/16 x 931.5 7.976 MeV. (b) Similarly, BEr~O)/17 = 7.751 MeV. (c) Similarly, BE(~~Fe)/56 = 8.790 MeV. (d) Similarly, BE(2g~U)/235 = 7.951 MeV. 4-1 July 24, 2002...
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