After the decay of a single $\beta$ particle, the parent and daughter nuclei are

The radioactive nucleus $_7N^{13}$ decays to $_6C^{13}$ through the emission of

Explain the basic nuclear process by equation in $\beta$-decay.

The modern treatment method $P.E.T.$ is based on:

Explain the conservation of linear momentum for the radioactive decay of a radium nucleus.

Assertion: ${}_{Z}{X^{A}}$ undergoes $2\alpha$-decays,$2\beta$-decays,and $2\gamma$-decays,and the daughter product is ${}_{Z-2}{X^{A-8}}$.
Reason: In $\alpha$-decays,the mass number decreases by $4$ and the atomic number decreases by $2$. In $\beta$-decays,the mass number remains unchanged,but the atomic number increases by $1$.