When an -particle strikes an aluminium-27 nucleus at rest

PHYSICS · Single correct · CBSE · Physics · Nuclei · Nuclei

Problem

When an

\alpha

-particle strikes an aluminium-27 nucleus at rest, the reaction

^{27}_{13}\mathrm{Al} + ^{4}_{2}\mathrm{He} \rightarrow ^{30}_{15}\mathrm P + n

can occur. Atomic masses are

^{27}_{13}\mathrm{Al}=26.981538\,\text{u}

^{4}_{2}\mathrm{He}=4.002603\,\text{u}

^{30}_{15}\mathrm P=29.978313\,\text{u}

n=1.008665\,\text{u}

. Using

1\,\text{u}=931\,\text{MeV}/c^{2}

, determine the nature of the reaction and the corresponding energy. (a) Exothermic;

2.64\,\text{MeV}

released (b) Exothermic;

5.28\,\text{MeV}

released (c) Endothermic;

2.64\,\text{MeV}

absorbed (d) Endothermic;

2.60\,\text{MeV}

absorbed