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Neutrons and protons make up nuclear atoms. Although many nuclei can keep neutrons stable, free neutrons disintegrate after roughly 15 minutes. They can leak out of the reactor and decay as a result, which makes them a radiation issue around nuclear reactors. A proton, an electron, and an antineutrino of the electron type are produced as the neutron decays.

We have given that,an electron cannot decay into two neutrinos.

Here we have to consider that an electron can decay into two neutrinos.

Let the equation,

$e^{-}→\mathrm{γ}+\mathrm{γ}$

You can quickly see that this equation violates the rules of conservation of charge and lepton number. However, there are also other laws that are violated.

Now, for angular momentum, Because both an electron and a neutrino have spin 1/2, the angular momentum conservation law is violated.

Since neutrinos have no charge, the charge conservation law is not violated.

Lepton number of an electron is +1 , and for neutrinos is +1 too , hence that is lepton number conservation law is violated.

The lepton number conservation law will be violated even if we take into account the antineutrino - neutrino pair on the right hand side.

The baryon number conservation law does not apply to electrons and neutrinos since they are leptons and not baryons.