Question

Calculate the binding energy of an alpha particle in MeV. Given

mass of a proton = 1.007825 u

mass of a neutron = 1.008665 u

mass of He nucleus = 4.002800 u

1u = 931 MeV/c²

Answer 1

Given:

m_p = 1.007825 u

m_n = 1.008665 u

m_α = 4.002800 u

B.E. = Δmc²

= `{(2m_p + 2m_n) - m_alpha}c^2`

= `{(2 xx 1.007825 + 2 xx 1.008665) - 4.002800} xx c^2`

B.E. = `0.03018 xx 931` MeV

B.E. = 28.09758 MeV