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Calculate the binding energy of an alpha...

Calculate the binding energy of an alpha particle from the following data:
`mass of _1^1H ` atom` = 1.007825 u`
mass of neutron = 1.008665 u
`mass of _4^2He ` atom` = 4.00260 u`
Take `1 u = 931 MeV c^(-2)`

Text Solution

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The alpha particle contains`2` protons and `2` neutrons. The binding energy is
`B =(2 xx 1.007826 u + 2 xx 1.008665 u -4.00260 u)c^(2)`
`=(0.03038 u)c^(2)`
`=0.03038 xx 931 MeV =28.3 MeV`.
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