The mass of proton is 1.0073 u and that of neutron is 1.0087 u (u = atomic mass unit). The binding energy of 42He is (Given : helium nucleus mass ≈ 4.0015 u)
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Δm = (2 × 1.0074 + 2 × 1.0087 - 4.0015) = 0.0307
E = (Δm) × 931 Mev = 0.0307 × 931 = 28.5 Mev
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6
Answer:
28.4 Mev
Explanation:
Binding energy = 42He (Given)
Mass of helium nucleus ≈ 4.0015 u (Given)
Mass of proton = 1.0073 u (Given)
Mass of neutron = 1.0087 u (Given)
where u is the atomic mass unit
Thus, Mass defect = 2Mp + 2Mn - Mhe
Therefore, following the equation -
Δm = (2 × 1.0073 + 2 × 1.0087 - 4.0015) = 0.0305
Binding energy = ( 931 × mass defect) MeV
E = (Δm) × 931 Mev (1 amu = 931 Mev).
= 0.0305 × 931
= 28.4 MeV
Thus, the binding energy of 42He is 28.4 MeV.
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