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Question 30

In a nuclear fission process, a high mass nuclide $$(A \approx 236)$$ with binding energy $$7.6$$ MeV/Nucleon dissociated into two middle mass nuclides $$(A \approx 118)$$, having binding energy of $$8.6$$ MeV/Nucleon. The energy released in the process would be _______ MeV.


Correct Answer: 236

In nuclear fission:

- Parent nucleus: $$A = 236$$, binding energy per nucleon = 7.6 MeV

- Two daughter nuclei: each $$A = 118$$, binding energy per nucleon = 8.6 MeV

Total binding energy before = $$236 \times 7.6 = 1793.6$$ MeV

Total binding energy after = $$2 \times 118 \times 8.6 = 236 \times 8.6 = 2029.6$$ MeV

Energy released = Final BE - Initial BE = $$2029.6 - 1793.6 = 236$$ MeV

The answer is $$\boxed{236}$$ MeV.

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