If the binding energy per nucleon in 3^7 Li and 2^4 He nuclei are 5.60 MeV and 7.06 MeV respec

step 1 Hi everyone, binding energy of lithium 7 into 5 .60 that is 39 .2 mega -electron bolt. Lithium i

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

If the binding energy per nucleon in ${ }_{3}^{7} \mathrm{Li}$ and ${ }_{2}^{4} \mathrm{He}$ nuclei are $5.60 \mathrm{MeV}$ and $7.06 \mathrm{MeV}$ respectively, then in the reaction $p+{ }_{3}^{7} \mathrm{Li} \rightarrow 2{ }_{2}^{4} \mathrm{He}$ energy of proton must be (A) $28.24 \mathrm{MeV}$ (B) $17.28 \mathrm{MeV}$ (C) $1.46 \mathrm{MeV}$ (D) $39.2 \mathrm{MeV}$

If the binding energy per nucleon in ${ }_{3}^{7} \mathrm{Li}$ and ${ }_{2}^{4} \mathrm{He}$ nuclei are $5.60 \mathrm{MeV}$ and $7.06 \mathrm{MeV}$ respectively, then in the reaction $p+{ }_{3}^{7} \mathrm{Li} \rightarrow 2{ }_{2}^{4} \mathrm{He}$ energy of proton must be
(A) $28.24 \mathrm{MeV}$
(B) $17.28 \mathrm{MeV}$
(C) $1.46 \mathrm{MeV}$
(D) $39.2 \mathrm{MeV}$

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Key Concepts

Binding Energy per Nucleon

This concept refers to the average energy that binds each nucleon (proton or neutron) within a nucleus. It is obtained by dividing the total binding energy of the nucleus by the number of nucleons, indicating nuclear stability and the energy required to disassemble the nucleus into individual nucleons.

Nuclear Reaction Q-value

The Q-value of a nuclear reaction represents the net amount of energy released or absorbed during the reaction. It is calculated as the difference in total binding energies of the products and reactants, and determines whether the reaction is exothermic (releasing energy) or endothermic (requiring energy input).

Threshold Energy in Nuclear Reactions

Threshold energy is the minimum kinetic energy that must be supplied to a reacting particle (or system) for a nuclear reaction to occur, particularly in endothermic reactions. It accounts for the energy required to overcome the energy deficit associated with the reaction’s Q-value.

Mass-Energy Equivalence

Mass-energy equivalence, articulated by Einstein’s equation E=mc², is the principle that mass and energy are interchangeable. This concept underlies calculations of nuclear binding energy and reaction energetics, as the difference in mass (mass defect) between reactants and products translates to energy changes in nuclear reactions.

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