Q.Inside a nucleus, the nuclear forces between proton and proton, proton and neutron, neutron and neutron are , and respectively. Then: (A) (B) (C) (D)
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Start your 14-day free trial to unlock the full solution →The strong nuclear force is charge-independent: it acts equally between any pair of nucleons (proton or neutron) at the same separation, so .
Why the nuclear force doesn't care about charge
The strong nuclear force—the interaction that binds protons and neutrons together in the nucleus—has a remarkable property discovered through decades of scattering experiments and nuclear structure studies: it is charge-independent. This means the force between two nucleons depends only on their separation and spin alignment, not on whether they happen to be protons or neutrons.
This might seem counterintuitive at first. After all, two protons also experience electromagnetic repulsion because both carry positive charge, while a neutron-neutron pair feels no such repulsion. But the nuclear force itself—the residual strong interaction mediated by pion exchange at the quark level—treats all nucleons identically.
Think of it this way: protons and neutrons are not fundamentally different particles to the strong force. They are two states (isospin states) of the same entity, the nucleon. The strong force is "blind" to this distinction.
Step-by-step reasoning
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The nature of the strong force
The nuclear force arises from the exchange of mesons (primarily pions) between nucleons. At a deeper level, it's a residual effect of the color force binding quarks inside each nucleon. This interaction depends on the distance between nucleons and their quantum numbers (spin, isospin), but crucially, not on electric charge.
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Experimental evidence
Scattering experiments comparing proton-proton, proton-neutron, and neutron-neutron interactions (after accounting for electromagnetic effects in the case) show that the strong force component is the same in all three. The binding energies of mirror nuclei—pairs that differ by swapping protons for neutrons—confirm this charge independence.
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What about the Coulomb repulsion?
Two protons do experience electromagnetic repulsion in addition to the nuclear attraction. However, the question asks specifically about the nuclear force , , —not the total force. The nuclear component alone is identical in all three cases.
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Isospin symmetry …
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