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9702 · 23.1

Mass defect and nuclear binding energy

Cambridge 9702 Paper 4 — Mass defect and nuclear binding energy (23.1). Senpai Corner diagram-backed pilot with premium structure and live visuals.

Need to know

What you need to know

  • **Atomic Mass Unit (u):** Defined as 1/12th the mass of a neutral carbon-12 atom. $1 \text{ u} = 1.661 \times 10^{-27} \text{ kg}$. It's a convenient unit for the tiny masses of subatomic particles.
  • **Electronvolt (eV):** The energy gained by an electron accelerated through a potential difference of 1 volt. $1 \text{ eV} = 1.60 \times 10^{-19} \text{ J}$. Nuclear energies are often expressed in **Mega-electronvolts (MeV)**, where $1 \text{ MeV} = 10^6 \text{ eV}$.
  • **Energy-Mass Conversion:** Using E=mc², the energy equivalent of 1 atomic mass unit can be calculated. It is a very useful conversion factor: $1 \text{ u} \approx 931.5 \text{ MeV}$.

Explanation

Mass defect and nuclear binding energy

  1. **Atomic Mass Unit (u):** Defined as 1/12th the mass of a neutral carbon-12 atom. $1 \text{ u} = 1.661 \times 10^{-27} \text{ kg}$. It's a convenient unit for the tiny masses of subatomic particles.
  2. **Electronvolt (eV):** The energy gained by an electron accelerated through a potential difference of 1 volt. $1 \text{ eV} = 1.60 \times 10^{-19} \text{ J}$. Nuclear energies are often expressed in **Mega-electronvolts (MeV)**, where $1 \text{ MeV} = 10^6 \text{ eV}$.
  3. **Energy-Mass Conversion:** Using E=mc², the energy equivalent of 1 atomic mass unit can be calculated. It is a very useful conversion factor: $1 \text{ u} \approx 931.5 \text{ MeV}$.