The variation of binding energy per nucleon with mass number is an important…

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

The variation of binding energy per nucleon with mass number is an important indicator of nuclear stability. (a) Draw a qualitative sketch of the binding energy per nucleon EbnE_{bn} versus mass number AA for stable nuclei. Mark the approximate mass number at which EbnE_{bn} attains its maximum value. (b) Using the sketch, explain why the fusion of two light nuclei such as 12 ⁣H_1^2\!H is an energy-releasing process. (c) Using the same reasoning, explain why the fission of a heavy nucleus such as 92235 ⁣U_{92}^{235}\!U releases energy. (d) State why nuclei having mass numbers close to A≈56A\approx56 do not undergo spontaneous fission or fusion under ordinary conditions.

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