Mass- Energy Equivalence: Nuclear Binding Energy — Formula Sheet
ICSE · Class 12 · Physics
14 formulas from Mass- Energy Equivalence: Nuclear Binding Energy (ICSE Class 12 Physics) on one page, grouped by topic.
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Formulas and Key Relations
1. Mass-Energy Relation
ΔE = (Δm)c²
Δm = ΔE / c²
E₀ = m₀c²
2. Pair Production and Pair Annihilation
hv = (-1β⁰) + (+1β⁰)
Minimum γ energy = 2 × 0.51 = 1.02 MeV
(-1β⁰) + (+1β⁰) = hv + hv
3. Mass Defect and Binding Energy
Δm = Zmp + (A−Z)mn − mN
BE = (Δm)c² = [Zmp + (A−Z)mn − mN]c²
Eb = [ZmH + (A−Z)mn − m(ZXA)]c²
Ebn = Eb / A = {[Zmp + (A−Z)mn − MN]/A} × 931.5 MeV/nucleon
Binding Energy Curve and Nuclear Stability
The binding energy per nucleon curve has almost a flat maximum from A = 50 to A = 80.
Key relations
Einstein’s relation is written as ΔE = (Δm)c².
The reaction is hv = -1β0 + +1β0.
An electron and a positron annihilate to produce two γ-photons: -1β0 + +1β0 = hv + hv.
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