A) tritium energy is less than that of a \[{{\operatorname{He}}^{3}}\] nucleus.
B) the electron created in the beta decay process cannot remain in the nucleus.
C) both the neutrons in triton have to decay simultaneously resulting in a nucleus with \[{{\operatorname{He}}^{3}}\] protons, which is not a nucleus.
D) because free neutrons decay due to external perturbations which is absent in a triton nucleus.
Correct Answer: A
Solution :
Option (a) is correct Explanation: Tritium \[({}_{1}^{3}\operatorname{H})\] has 1 proton and 2 neutrons. If a neutron decays as, \[n\to p+e+\operatorname{v}\] then nucleus will have 2 protons and 1 neutron, i.e. triton atom converts in \[_{2}{{\operatorname{He}}^{3}}\] (2 proton and 1 neutron). Binding energy of \[_{1}{{\operatorname{H}}^{3}}\] is much smaller than \[_{2}{{\operatorname{He}}^{3}}\], so transformation is not possible energetically.
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