In a simplified neutron-multiplication model, each fission event effectively produces exactly two fission events in the next generation after all neutron losses are accounted for. Starting from one fission in generation 0, how many fissions occur in generation 10?
Physics · Nuclear physics · nuclear fission and fusion ,nuclear reactor
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Question

In a simplified neutron-multiplication model, each fission event effectively produces exactly two fission events in the next generation after all neutron losses are accounted for. Starting from one fission in generation 0, how many fissions occur in generation 10?

Physics · Nuclear physics · nuclear fission and fusion ,nuclear reactor

G1 Physics · Accepted Answer

Each generation has twice as many fissions as the previous one. Generation 0: 1 Generation 1: 2 Generation 2: 4 Therefore generation n contains 2ⁿ fissions. For generation 10: N = 2¹⁰ = 1024. Hence N = 1024.