The binding energy per nucleon of is about while that of is about

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

Problem

The binding energy per nucleon of 26Fe^{26}\mathrm{Fe} is about 8.8 MeV8.8\,\text{MeV} while that of 235U^{235}\mathrm{U} is about 7.6 MeV7.6\,\text{MeV}. Which statement is most appropriate in the light of these values? (a) 26Fe^{26}\mathrm{Fe} can release large energy by undergoing fission because splitting always increases the binding energy per nucleon for lighter nuclei. (b) 235U^{235}\mathrm{U} is more stable than 26Fe^{26}\mathrm{Fe} because its total binding energy (235×7.6 MeV235\times 7.6\,\text{MeV}) is larger. (c) Fusion of light nuclei towards the iron region is energetically favourable because the average binding energy per nucleon increases. (d) Because the difference in their binding energy per nucleon is only about 1.2 MeV1.2\,\text{MeV}, the two nuclei are nearly equally stable.

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