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A Heavy Nucleus X of Mass Number 240 and Binding Energy per Nucleon 7.6 Mev is Split into Two Fragments Y and Z of Mass Numbers 110 and 130. the Binding Energy of Nucleons in Y and Z is 8.5 Mev per - Physics

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Question

A heavy nucleus X of mass number 240 and binding energy per nucleon 7.6 MeV is split into two fragments Y and Z of mass numbers 110 and 130. The binding energy of nucleons in Y and Z is 8.5 MeV per nucleon. Calculate the energy Q released per fission in MeV.

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Solution

Total energy of nucleus X = 240 × 7.6 = 1824 MeV

Total energy of nucleus Y = 110 × 8.5 = 935 MeV

Total energy of nucleus Z = 130 × 8.5 = 1105 MeV

Therefore, energy released from fission, Q = 935 + 1105 − 1824 = 216 MeV

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Mass-energy and Nuclear Binding Energy - Mass - Energy
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2009-2010 (March) Delhi set 3

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