#### Question

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

#### Solution

Before the separation of neutron, let the mass of the nucleus be M_{Z}_{,N}.

Then, after the separation of neutron, the mass of the nucleus will be M_{Z},_{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)c^{2}

`ΔE = (M_(Z,N-1) + M_N - M_(Z,N))c^2`

Is there an error in this question or solution?

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.