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If the nuclear force between two protons, two neutrons and between proton and neutron is denoted by Fₚₚ, Fₙₙ and Fₚₙ respectively, then

Asked in CBSE AIPMT 1991 · Binding energy curve and nuclear force

• (1) Fₚₚ≈ Fₙₙ≈ Fₚₙ
• (2) Fₚₚ e Fₙₙ and Fₚₙ=Fₙₙ
• (3) Fₚₚ=Fₙₙ=Fₚₙ
• (4) Fₚₚ e Fₙₙ e Fₚₙ

Step-by-step solution

Why the other options are wrong

• (1) comes from understates the property: charge independence makes the three nuclear forces equal, not merely comparable.
• (2) comes from splits the three forces into unequal pairs; charge independence makes all three equal, so Fₚₚ cannot differ from Fₙₙ while Fₚₙ matches one of them.
• (4) comes from makes all three different, which is exactly what charge independence rules out.

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