Physics

Problem

The nucleus of the helium isotope

^4\!\mathrm{He}

has

Z=2

and

N=2

. The following nuclear masses are provided:

\mathrm{m_p}=1.00727\,\text{u}

\mathrm{m_n}=1.00866\,\text{u}

, mass of

^4\!\mathrm{He}

nucleus

=4.00150\,\text{u}

1\,\text{u}=1.6605\times10^{-27}\,\text{kg}=931.5\,\text{MeV}/c^{2}

. a. (i) Calculate the mass defect of the

^4\!\mathrm{He}

nucleus in atomic mass units (u). b. (ii) Determine the binding energy of the nucleus in (a) joule and (b) mega-electron-volt (MeV). c. (iii) Find the binding energy per nucleon in MeV for

^4\!\mathrm{He}

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