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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 - Physics

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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

Numerical

Solution

Given:

mp = 1.007825 u

mn = 1.008665 u

mα = 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

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2022-2023 (March) Delhi Set 3

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