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A2 Daily A Level Physics question

2026-04-04 OCR A Nuclear Physics (M6) OCR-A 6.2.3 Nuclear energy: mass–energy equivalence OCR-A 6.2.3 Binding energy and binding energy per nucleon (qualitative trends) OCR-A 6.2.3 Energy release in fission and fusion (qualitative)

A researcher compares the energy released per initial nucleon in two devices: a D–T fusion plasma where D + T → He‑4 + n, and a thermal reactor where U‑235 typically fissions into two fragments near A ≈ 120. Use these approximate average binding energies per nucleon: D ≈ 1.1 MeV; T ≈ 2.8 MeV; He‑4 ≈ 7.1 MeV; U‑235 ≈ 7.6 MeV; typical fission fragments near A ≈ 120 ≈ 8.5 MeV. Which statement must be true based on a one‑step estimate using changes in binding energy per nucleon?

  1. A Fission gives more energy per initial nucleon; it is roughly three to four times that from D–T fusion on this basis.
  2. B The energy released per initial nucleon is about the same for both processes, differing by less than around 10%.
  3. C D–T fusion releases several times more energy per initial nucleon than U‑235 fission, because the increase in average binding energy per nucleon is about 3–4 MeV for fusion but only about 1 MeV for fission. (correct)
  4. D Neither comparison is valid here, because the nucleon count changes in fusion and binding energy per nucleon cannot be used to estimate the energy change.

Answer

The correct answer is C.

Correct: C — D–T fusion releases several times more energy per initial nucleon than U‑235 fission, because the increase in average binding energy per nucleon is about 3–4 MeV for fusion but only about 1 MeV for fission. Using the data: fusion increases total binding by about 4×7.1 − (2×1.1 + 3×2.8) ≈ 17.8 MeV per reaction, which is ≈3.6 MeV per initial nucleon (5 nucleons); fission raises BE per nucleon from ≈7.6 to ≈8.5, a gain ≈0.9 MeV per nucleon. A Overstates fission and ignores that Δ(BE/nucleon) for fission is only about 1 MeV, far smaller than the ≈3–4 MeV per initial nucleon for D–T fusion. B Misconception: the per‑nucleon energy changes are not similar; the fusion estimate is several times larger than the fission estimate. C This matches the quantitative comparison of binding‑energy increases per nucleon, so it is correct. D Incorrect: nucleon number is conserved in D–T fusion (5 in, 5 out with the neutron), and comparing total binding‑energy change per initial nucleon is precisely how we estimate the released energy.