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In a fission reaction ²³⁶U → ¹¹⁷X + ¹¹⁷Y + n + n, the binding energy per nucleon of X and Y is 8.5 MeV whereas of ²³⁶U is 7.6 MeV. The total energy liberated will be about:

1. 2000 MeV
2. 200 MeV
3. 2 MeV
4. 200 keV

Correct answer: 200 MeV

Solution

The energy released in a fission reaction is due to the difference in total binding energy before and after the reaction. The binding energy of ²³⁶U is 7.6 MeV per nucleon, and for ¹¹⁷X and ¹¹⁷Y, it is 8.5 MeV per nucleon. The total energy released is approximately (8.5 - 7.6) × 236 ≈ 200 MeV.

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