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Calculate the mass defect and binding en...

Calculate the mass defect and binding energy per nucleon for an alpha particle (containing two protons and two neutrons) whose actual mass is 4.0028 amu (mass of proton = 1.00759 amu, mass of nuetron = 1.00898 amu).

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An `alpha-"particle" (._(2)He^(4))` has 2 protons and 2 neutrons
`:.` Mass of `2P + 2N` in `alpha`-particle
`= 2 xx 1.0073 + 2 xx 1.0087`
`= 4.032 "amu"`
Mass of `alpha`-particle (given) ` = 4.0028 "amu"`
`:.` Mass defect `(Delta m) = 4.032 - 4.0028 = 0.0292 "amu"`
Using Einstein equation, `E = mc^(2) = m xx 931.4 MeV`
`:.` Building energy = Mass defect `xx 931.478`
[1 amu mass `= 931.4 MeV]`
`= 0.0292 xx 931.478`
`= 27.1991 MeV`
`:.` Binding energy per nucleon `= (27.1991)/(4)`
`= 6.7997 MeV`
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