All masses are invariant (rest) masses of bare nuclei

PHYSICS · Multi-part · Fermi University Physics · Relativity & Gravitation · Nuclear Physics · Nuclear constituents, size and binding

Relativity and Gravitation, Ch Mass as energy: binding, defect and annihilation

Problem

All masses are invariant (rest) masses of bare nuclei. Use

1\ \mathrm{u} = 931.494\ \mathrm{MeV}/c^2

m_p = 1.007276\ \mathrm{u}

m_n = 1.008665\ \mathrm{u}

, the lithium-7 nuclear mass

7.014357\ \mathrm{u}

and the helium-4 nuclear mass

4.001506\ \mathrm{u}

. The lithium-7 nucleus contains

3

protons and

4

neutrons. ((a)) Find the mass defect of lithium-7 in

\mathrm{u}

. ((b)) Convert it to the binding energy in MeV and give the binding energy per nucleon. ((c)) A proton at rest and a lithium-7 nucleus at rest react as

\mathrm{p} + {}^{7}\mathrm{Li} \to 2\,{}^{4}\mathrm{He}

. Find the energy released,

Q

, in MeV.

Related theory

Nuclear Physics

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