A nucleus $_Z{X^A}$ emits $3 \alpha$ - particles and $5 \beta$ particle. The ratio of total neutrons and protons in the final nucleus is
$\frac{{A - Z - 12}}{{Z - 6}}$
$\frac{{A - Z}}{{Z - 1}}$
$\frac{{A - Z - 11}}{{Z - 6}}$
$\frac{{A - Z - 11}}{{Z - 1}}$
${ }_{92}^{235} U$ atom disintegrates to ${ }_{82}^{207} Pb$ with a half-life of $10^9 yr$. In the process, it emits $7 \alpha$ particles and $n \beta^{-}$particles. Here, $n$ is
After one $\alpha $ and two $\beta $ emissions
Write nuclear reaction equations for
$(i)$ $\alpha$ -decay of $^{226}_{88} Ra$
$(ii)$ $\alpha$ -decay of $_{94}^{242} Pu$
$(iii)$ $\beta$ -decay of $_{15}^{32} P$
$(iv)$ $\beta$ -decay of $^{210}_{83}Bi$
$(v)$ $\beta^{+}$ -decay of $_{6}^{11} C$
$(vi)$ $\beta^{+}$ -decay of $_{43}^{97} Tc$
$(vii)$ Electron capture of $^{120}_{54} Xe$
A radioactive nucleus with $Z$ protons and $N$ neutrons emits an $\alpha - $ particle, $2\beta$- particles and $2$ gamma rays. The number of protons and neutrons in the nucleus left after the decay respectively, are
In which of the following decay, the element does not change