If the binding energy Per nucleon in 3^7 Li and ^4 2 He nuclear is 5.6 MeV and 7.06 MeV respec

step 1 The question is if the binding energy per nucleon of lithium and helium is 5 .6 million electron

If the binding energy Per nucleon in 3^7 Li and ^4 2 He...

If the binding energy Per nucleon in ${ }_{3}^{7} \mathrm{Li}$ and ${ }^{4}{ }_{2}$ He nuclear is $5.6 \mathrm{MeV}$ and $7.06 \mathrm{MeV}$ respectively, then in the reaction $\mathrm{P}+{ }_{3} \mathrm{Li} \rightarrow 2\left({ }_{2}^{4} \mathrm{He}\right)$ (P here retrent Proton) energy of Proton must be (A) $1.46 \mathrm{MeV}$ (B) $39.2 \mathrm{MeV}$ (C) $17.28 \mathrm{MeV}$ (D) $28.24 \mathrm{MeV}$

If the binding energy Per nucleon in ${ }_{3}^{7} \mathrm{Li}$ and ${ }^{4}{ }_{2}$ He nuclear is $5.6 \mathrm{MeV}$ and $7.06 \mathrm{MeV}$ respectively, then in the reaction $\mathrm{P}+{ }_{3} \mathrm{Li} \rightarrow 2\left({ }_{2}^{4} \mathrm{He}\right)$ (P here retrent Proton) energy of Proton
must be
(A) $1.46 \mathrm{MeV}$
(B) $39.2 \mathrm{MeV}$
(C) $17.28 \mathrm{MeV}$
(D) $28.24 \mathrm{MeV}$

Key Concepts

Binding Energy per Nucleon

This concept describes the average energy that binds each nucleon (proton or neutron) in the nucleus. It serves as an indicator of the stability of the nucleus; generally, a higher binding energy per nucleon signifies a more stable nucleus. In nuclear reactions, comparing the binding energies per nucleon of the reactants and products is essential to determine the energy released or required by the reaction.

Mass Defect

Mass defect refers to the difference between the mass of a fully assembled nucleus and the sum of the masses of its individual protons and neutrons. This missing mass has been converted into binding energy during the formation of the nucleus, as described by Einstein's mass-energy equivalence relation (E = mc²). In nuclear reactions, the mass defect helps quantify the energy change, as small differences in mass can lead to significant energy release or absorption.

Q-value of a Nuclear Reaction

The Q-value is the net amount of energy released or absorbed during a nuclear reaction. It is calculated from the difference in the total binding energies (or correspondingly, the mass defect) of the reactants and products. A positive Q-value indicates an exothermic reaction where energy is released, whereas a negative Q-value indicates an endothermic reaction requiring an input of energy. This value is crucial for understanding the energetics of the reaction.

Threshold Energy

Threshold energy is defined as the minimum kinetic energy that the incident particle (such as a proton) must possess to initiate a nuclear reaction. In endothermic reactions, this energy must overcome the energy deficit described by the Q-value. Determining the threshold energy is essential to predict whether the reaction can occur under given conditions and to design experiments or reactors where such reactions take place.

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