Case study·Standard multi-step (3/5)·Calculator allowed

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

The labelled points L, M and H on the binding-energy-per-nucleon curve represent light, medium and heavy nuclei respectively. A heavy nucleus near H has A=236A=236 and binding energy per nucleon 7.6MeV7.6\,\text{MeV}. It splits into fragments with the same total mass number and average binding energy per nucleon 8.5MeV8.5\,\text{MeV}.
Total: 6 marks

(a) Which labelled point represents the most stable region? (1 mark)

(b) Find the increase in binding energy per nucleon in the fission described. (1 mark)

(c) Estimate the total energy released in this fission event. (2 marks)

(d) Use the curve to explain why this fission releases energy. (2 marks)

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cbse-physics-12.u8.t8-5.case.005

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