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# Calculate the Minimum Energy Needed to Separate a Neutron from a Nucleus with Zprotons and N Neutrons It Terms of the Masses Mz.N' Mz,N−1 and the Mass of the Neutron. - Physics

ConceptMass-Energy Relation and Mass Defect

#### Question

Calculate the minimum energy needed to separate a neutron from a nucleus with Zprotons and N neutrons it terms of the masses MZ.N' MZ,N−1 and the mass of the neutron.

#### Solution

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,N) = E_(Z,N-1) + _0^1n

If (M_N) is the mass of the neutron, then the energy needed to separate the neutron b (ΔE) will be

ΔE = (Final mass of nucleus + Mass of neutron − Initial mass of the nucleus)c2

ΔE = (M_(Z,N-1) + M_N - M_(Z,N))c^2

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Solution Calculate the Minimum Energy Needed to Separate a Neutron from a Nucleus with Zprotons and N Neutrons It Terms of the Masses Mz.N' Mz,N−1 and the Mass of the Neutron. Concept: Mass-Energy Relation and Mass Defect.
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