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Advanced Topics}Nuclear Physics

In symmetric fission, the change in kinetic energy is just the change in binding energy. The change in binding energy for a N-nucleon heavy nucleus is the difference in energy between the initial un-fissioned heavy nucleus and the final 2 medium-sized nuclei,

\Delta E = 2\times 0.5 N \times 8MeV/nucleon - N \times 7MeV/nucleon = N \times 1MeV/nucleon.

For a heavy nucleus, one has N\approx 200, and thus one arrives at choice (C).
(This is due to David Schaich.)

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Comments
petr1243
2008-02-16 21:28:31
Q=(# of nucleons)(|change in energy per nucleon|)rnrnUsing the mass number of a heavy nucleon(A=200)rnrnQ = (200)(8-7)Mev = 200MevNEC
relain
2007-10-31 10:19:08
also it might help to remember that iron is the most stable nucleus with A ~ 50 and then uranium is about 250 (232, 252 whatever) so then if this is a large unstable nucleus, and each nucleon gves 1mev you're gonna get about 200...NEC
Void
2005-11-10 06:49:25
I've seen this number (200 MeV/fission) appear in a lot of elementary physics books and even a lot of lectures. If you forget everything else, just remember 200 MeV per fission...NEC

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