If a nucleon has p number of neighbours within the range of nuclear force, then the binding energy is ____________.
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A.
directly proportional to square of p
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B.
inversely proportional to square of p
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C.
directly proportional to p
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D.
inversely proportional to p
Correct Answer:
C. directly proportional to p
Explanation:
In nuclear physics, the binding energy of a nucleus is primarily determined by the short-range attractive nuclear force between neighboring nucleons. Since this force has a very limited range, each nucleon only interacts with its immediate neighbors rather than every other nucleon in the nucleus. If a nucleon has p neighbors within this range, the potential energy contributed by that specific nucleon is proportional to the number of its interactions, which is p. When considering the entire nucleus, the total binding energy is calculated by summing these individual contributions. Consequently, the binding energy is directly proportional to the number of neighbors, p, as the strength of the interaction scales linearly with the number of nearby nucleons providing the force.
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