NEET-XII-Physics
46: The Nucleus
- #9Calculate the minimum energy needed to separate a neutron from a nucleus with Z protons and N neutrons it terms of the masses MZ.N‘ MZ,N-1 and the mass of the neutron.Ans : Before the separation of neutron, let the mass of the nucleus be MZ,N.
Then, after the separation of neutron, the mass of the nucleus will be MZ,N-1.
The reaction is given by
`` {E}_{Z\mathit{,}N}={E}_{Z,N-1}+{}_{0}{}^{1}\,\mathrm{\,n\,}``
If `` {M}_{\,\mathrm{\,N\,}}`` is the mass of the neutron, then the energy needed to separate the neutron b`` \left(∆E\right)`` will be
`` ∆E`` = (Final mass of nucleus + Mass of neutron - Initial mass of the nucleus)c2
`` ∆E=({M}_{Z,\,\mathrm{\,N\,}-1}+{M}_{\,\mathrm{\,N\,}}-{M}_{Z,\,\mathrm{\,N\,}}){c}^{2}``
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