Calculate the average binding energy per nucleon

AI Thread Summary
The average binding energy per nucleon in the deuterium nucleus is calculated as 1.112 MeV/c^2, but this value represents mass rather than energy. The binding energy of an electron in hydrogen is 13.4 eV, which needs to be converted correctly to compare with nucleon binding energy. There is confusion regarding units, as the conversion from eV to MeV requires attention to avoid introducing incorrect factors. Ultimately, the discussion emphasizes the importance of unit consistency when comparing binding energies of electrons and nucleons. Understanding these conversions is crucial for accurate comparisons of particle binding strengths.
salsabel
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a) Calculate the average binding energy per nucleon in the deuterium nucleus.
b) The energy that binds an orbiting electron to the hydrogen nucleus is 13.4 eV. Calculate the ratio of the binding energy per nucleon to the binding per electron in deuterium. Which particle is held more tightly, the electron or the neutron?

I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.

1 eV = 1.0*10^6 MeV/C^2, so wouldn't that make the binding energy of an electron much stronger than that of a neutron?
 
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Be careful, ask yourself - does that seem reasonable?
I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.

That is not an energy, it is a mass.
 
salsabel said:
I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.
Careful, what you have actually calculated there is the mass deficit per nucleon, notice the factor of c-2.
salsabel said:
1 eV = 1.0*10^6 MeV/C^2, so wouldn't that make the binding energy of an electron much stronger than that of a neutron?
You need to be careful with your units here, an extra factor of c-2 has just popped up from nowhere. Again, you have quoted units of mass. You also need be careful when converting from eV to MeV.

1eV = 1x10-6MeV
 
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