For the fission reaction

PHYSICS · Single correct · A Level · Physics · Nuclear physics · Nuclear physics

Problem

For the fission reaction 92235U+01n  →  56141Ba+3692Kr+3 01n^{235}_{92}\text{U}+^{1}_{0}\text{n}\;\rightarrow\;^{141}_{56}\text{Ba}+^{92}_{36}\text{Kr}+3\,^{1}_{0}\text{n}, the atomic masses (in u) are: 92235U=235.043929^{235}_{92}\text{U}=235.043929, 56141Ba=140.914411^{141}_{56}\text{Ba}=140.914411, 3692Kr=91.926156^{92}_{36}\text{Kr}=91.926156, 01n=1.008665^{1}_{0}\text{n}=1.008665. Which of the following pairs best represents the energy released by one such fission event, expressed in both MeV and joules? (Take 1 u=931.5 MeV c−21\,\text{u}=931.5\,\text{MeV}\,c^{-2} and 1 MeV=1.602×10−13 J1\,\text{MeV}=1.602\times10^{-13}\,\text{J}.) (a) −1.73×102 MeV;  −2.8×10−11 J-1.73\times10^{2}\,\text{MeV};\;-2.8\times10^{-11}\,\text{J} (b) 1.86×102 MeV;  3.0×10−11 J1.86\times10^{2}\,\text{MeV};\;3.0\times10^{-11}\,\text{J} (c) 1.73×102 MeV;  2.8×10−11 J1.73\times10^{2}\,\text{MeV};\;2.8\times10^{-11}\,\text{J} (d) 1.73×101 MeV;  2.8×10−12 J1.73\times10^{1}\,\text{MeV};\;2.8\times10^{-12}\,\text{J}

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