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In the mass number range A = 30 to 170, the binding energy per nucleon is
  • a)
    decreases with increasing A
  • b)
    increases linearly with A
  • c)
    decreases linearly with A
  • d)
    nearly constant
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the mass number range A = 30 to 170, the binding energy per nucleon...
Binding energy per nucleon in the mass number range A = 30 to 170

The binding energy per nucleon is the energy required to separate a nucleus into its constituent nucleons. It is a measure of the stability of the nucleus, and it depends on the mass number of the nucleus. In the mass number range A = 30 to 170, the binding energy per nucleon is nearly constant. This means that the stability of the nucleus is nearly constant in this range.

Explanation:

The binding energy per nucleon is given by the formula:

BE/A = (ZmH + NmN - M)/A

where BE is the binding energy, Z is the atomic number, N is the number of neutrons, mH is the mass of a hydrogen atom, mN is the mass of a neutron, and M is the mass of the nucleus.

In the mass number range A = 30 to 170, the binding energy per nucleon is nearly constant because the nuclear force between nucleons is nearly constant. This means that the energy required to separate a nucleon from the nucleus is nearly constant in this range.

The nuclear force between nucleons is a strong force that holds the nucleus together. It is a short-range force that depends on the distance between nucleons. In the mass number range A = 30 to 170, the distance between nucleons is nearly constant, and so the nuclear force is nearly constant.

Therefore, the binding energy per nucleon is nearly constant in this range because the nuclear force is nearly constant. This means that the stability of the nucleus is nearly constant in this range.
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Community Answer
In the mass number range A = 30 to 170, the binding energy per nucleon...
The binding energy is a very short order range force.
So beyond a certain amount of range the force has no influence beyond that. that's why after
certain number the binding energy per nucleon do not change even if we add more nucleons.
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