Physics 9702 · AS & A Level · Mass defect and nuclear binding energy

Mass defect and nuclear binding energy — practice question

(a)[2]

Explain the meaning of the binding energy of a nucleus.

(b)[3]

The masses of some particles are listed in Fig. 10.1. The energy equivalent of $1.0\,\text{u}$ is $930\,\text{MeV}$.\n\n(i) Calculate the binding energy, in MeV, for a tritium ($^{3}_{1}\text{H}$) nucleus.

(b(ii))[3]

The total mass of the separate nucleons forming a polonium-210 ($^{210}_{84}\text{Po}$) nucleus is $211.70394\,\text{u}$. Calculate the binding energy per nucleon of polonium-210.

(c)[2]

One possible fission reaction is $^{235}_{92}\text{U} + ^{1}_{0}\text{n} \rightarrow ^{141}_{56}\text{Ba} + ^{92}_{36}\text{Kr} + 3\,^{1}_{0}\text{n}$. Using binding energy, explain, without any calculation, why this fission reaction is energetically possible.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Energy needed to remove the nucleons to infinity

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