Classify isotopes, isobars and isotones from the following nuclei:

${}_1\mathrm{H}^3$, ${}_2\mathrm{He}^3$, ${}_2\mathrm{He}^4$, ${}_6\mathrm{C}^{12}$, ${}_6\mathrm{C}^{13}$, ${}_6\mathrm{C}^{14}$, ${}_7\mathrm{N}^{14}$, ${}_8\mathrm{O}^{16}$, ${}_{11}\mathrm{Na}^{23}$, ${}_{12}\mathrm{Mg}^{24}$, ${}_{15}\mathrm{P}^{30}$, ${}_{15}\mathrm{P}^{31}$, ${}_{19}\mathrm{K}^{40}$, ${}_{20}\mathrm{Ca}^{40}$.

Are the nuclei ${}_{3}X^7$ and ${}_{3}Y^4$ isotopes of the same element? Why? Which one is likely to be more stable? Why?

A radioactive nucleus having mass number $A$ and atomic number $Z$ undergoes a $\beta$-decay, then an $\alpha$-decay and finally a $\gamma$-decay. What will be the atomic number, mass number, number of neutrons and protons in the final nucleus?

The sequence of stepwise decays of a radioactive nucleus is:

$\mathrm{D}\stackrel{\mathrm{\alpha }}{⟶}{\mathrm{D}}_1\stackrel{\mathrm{\beta }}{⟶}{\mathrm{D}}_2\stackrel{\mathrm{\alpha }}{⟶}{\mathrm{D}}_3\stackrel{\mathrm{\alpha }}{⟶}{\mathrm{D}}_4$

If the nucleon number and atomic number for ${\mathrm{D}}_2$ are $176$ and $71$ respectively, what are the corresponding values for $\mathrm{D}$ and ${\mathrm{D}}_4$ nuclei?

Complete the following nuclear reactions: ${}_{88}\mathrm{Ra}^{226}\to {}_{86}\mathrm{Rn}^{222}+........$

Complete the following nuclear reactions: ${}_{15}\mathrm{P}^{30}\to {}_{14}\mathrm{Si}^{30}+........$