Binding Energy

Question

A nucleus has a mass defect of 0.5 u. What is its binding energy? (1 u = 931.5 MeV/c²)

RankGuru · Accepted Answer

1. **Mass-Energy Equivalence**: Binding energy (BE) is the energy equivalent of the mass defect ($\Delta m$).
   - Formula: $BE = \Delta m 	imes c^2$.
2. **Conversion Factor**: Given $1 	ext{ u}$ (atomic mass unit) corresponds to $931.5 	ext{ MeV}$ energy.
3. **Calculation**:
   - $BE = 0.5 	ext{ u} 	imes 931.5 	ext{ MeV/u}$
   - $BE = 465.75 	ext{ MeV}$.
4. **Conclusion**: The total energy required to disassemble the nucleus is 465.75 MeV.

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