The nuclear mass of the iron-56 nucleus ( ) is (this value does not include the…

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

Problem

The nuclear mass of the iron-56 nucleus (2656Fe^{56}_{26}\text{Fe}) is 55.934939 u55.934939\,u (this value does not include the masses of the 26 orbital electrons). The nucleus contains 26 protons and 30 neutrons. (i) Calculate the mass defect of the iron-56 nucleus in atomic mass units using mp=1.007276 um_{p}=1.007276\,u and mn=1.008665 um_{n}=1.008665\,u. (ii) Determine the total binding energy and the binding energy per nucleon for iron-56. Take 1 u=931.5 MeV/c21\,u=931.5\,\text{MeV}/c^{2}. (iii) Comment briefly on the value obtained in part (ii) with reference to nuclear stability.

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