Binding Energy
A nucleus has a mass defect of 0.5 u. What is its binding energy? (1 u = 931.5 MeV/c²)
Select the correct option:
Solution
465.75 MeV
- Mass-Energy Equivalence: Binding energy (BE) is the energy equivalent of the mass defect (Δm).
- Formula: BE=Δm×c2.
- Conversion Factor: Given 1 u (atomic mass unit) corresponds to 931.5 MeV energy.
- Calculation:
- BE=0.5 u×931.5 MeV/u
- BE=465.75 MeV.
- Conclusion: The total energy required to disassemble the nucleus is 465.75 MeV.
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About This Question
- Subject
- physics
- Chapter
- atoms and nuclei
- Topic
- binding energy
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
465.75 MeV
- Mass-Energy Equivalence: Binding energy (BE) is the energy equivalent of the mass defect (Δm).
- Formula: BE=Δm×c2.
- Conversion Factor: Given 1 u (atomic mass unit) corresponds to 931.5 MeV energy.
- Calculation:
- BE=0.5 u×931.5 MeV/u
- BE=465.75 MeV.
- Conclusion: The total energy required to disassemble the nucleus is 465.75 MeV.
This easy difficulty physics question is from the chapter atoms and nuclei, covering the topic of binding energy. It appeared in the 2025 exam.
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