Question

The binding energy for nucleus A is 7.7 MeV and that for nucleus B is 7.8 MeV. Which nucleus has the larger mass?​

Answer 1

Option B ( 7.8 MeV) is the nucleus which has the larger mass.

Answer 2

The binding energy for nucleus A is 7.7 MeV and that for nucleus B is 7.8 MeV.

• Binding Energy is the minimum amount of energy required to break all the nucleons (neutrons + protons) from each other.
• The nucleus has a very strong Internuclear force between its protons and neutrons.
• It was experimentally seen that the mass of individual protons and neutrons is less than the total mass of the nucleus. This mass gap is known as Mass Defect.
• This Mass Defect is released in the form of energy, known as Binding Energy.
• Also, the Binding Energy of the nucleus is directly proportional to the mass of the nucleus.
• Here in the question, the Nucleus of B has high Binding Energy therefore, B has the larger Mass.

Hence, The binding energy for nucleus A is 7.7 MeV and that for nucleus B is 7.8 MeV. And B has the larger mass.

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