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Reasons of Stability

Helium has a ...

Question

Helium has a mass number $4$ and the atomic number $2$ . Calculate the nuclear binding energy per nucleon. (mass of neutron $= 1.00893 a m u$ and proton $= 1.00814 a m u$ , $H e = 4.0039 a m u$ and mass of electron is negligible).

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Solution

$B . E = 931.5 M e v \times (△ m)$
$△ m = (4.0039 - 2 \times 1.0081 - 2 \times 1.00893)$
$= - 0.03016$
$B E = - 0.03016 \times 931.5 = - 28.094$
BE/nucleon $= \frac{- 28.094}{4} = - 1.038 M e v$

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