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Question

For nuclei with mass number close to 119 and 238, the binding energies per nucleon are approximately 7.6 MeV and 8.6 MeV respectively. If a nucleus of mass number 238 breaks into two nuclei of nearly equal masses, what will be the approximate amount of energy released in the process of fission?

A
214 MeV
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B
119 MeV
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C
2047 MeV
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D
1142 MeV
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Solution

The correct option is A 214 MeV
Total B.E of reactant-Total B.E of products = Energy released
E=238×8.6119×2×7.6=238×1(MeV)

Since, the energy released will also be transferred as kinetic energy of the daughter nuclei. Therefore the answer closest to 238 MeV from option should be chosen.

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