Mass- Energy Equivalence: Nuclear Binding Energy
ICSE · Class 12 · Physics
All formulas from Mass- Energy Equivalence: Nuclear Binding Energy in ICSE Class 12 Physics. Key equations, constants, and identities for board exam preparation.
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Formulas
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
E₀ = m₀c²
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
Eb = [ZmH + (A−Z)mn − m(ZXA)] × 931.5 MeV
Ebn = Eb / A = {[Zmp + (A−Z)mn − MN]/A} × 931.5 MeV/nucleon
4. Binding Energy Curve and Stability
Ebn = Eb / A
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