If the total binding energies of ` ""_(1)^(2)H, ""_(2)^(4)He, ""_(26)^(56)Fe` and `""_(92)^(235)U` nuclei are 2.22, 28.3, 492 and 1786 MeV respectively, identify the most stable nucleus out of the following

Options

A. `""_(26)^(56)Fe`
B. `""_(1)^(2)H`
C. `""_(92)^(235)U`
D. `"""_(2)^(4)He`

Answer

A

Explanation

B.E., per nucleon is the measure of stability of the nucleons.
For `""_(1)^(2)H , (B.E)/(A) = (2.22)/(2) = 1.11` MeV For `""_(2)^(4)He , (B.E)/(4) = 7.07` MeV
For `""_(26)^(56)Fe = (492)/(56) = 8.78` MeV For `""_(92)^(235)U = (1786)/(235) = 7.6` MeV