for example Carbon( atomic no 6 atomic mass 14) = N ( atomic no 7 atomic mass 14) + 1 beta particle (electron) in this example how does nitrogen gets another electron to neutralize its charge ( no of proton = no of electron) ?
regards
The problem is not how an atom conserves its charge. Of course if you increase the number of protons by beta minus decay you will get a postive atomic ion . And you will change the electronic status (differing shell energies, spin, angular momentum).
The electron (beta particle) will cause many ionizations as it is slowing down. These beta produced ions will neutralize as will the parent/progeny atom.
One could say the beta particle returns to produce the neutralization. Electrons are the indistinguishable so who can say that it did not.
If I understand your question, Clearly the beta decay is very fast in vacuum but suppressed by the nuclear binding energy, so that nuclei are safe by fast destabilization. Otherwise life cannot exist...
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