In a radioactive decay chain, the initial nucleus is ${}_{90}^{232}Th$.  At the end there are $6\,\,\alpha -$ particles and $4\,\,\beta -$ particles with are emitted. If the end nucleus is ${}_Z^AX\,,\,A$ and $Z$ are given by

  • [JEE MAIN 2019]
  • A

    $A = 208;\,\,Z = 80$

  • B

    $A = 202;\,\,Z = 80$

  • C

    $A = 208;\,\,Z = 82$

  • D

    $A = 200;\,\,Z = 81$

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$_{90}{X^{200}}{ \to _{80}}{Y^{168}}$

  • [AIPMT 1995]

List-$I$ shows different radioactive decay processes and List-$II$ provides possible emitted particles. Match each entry in List-$I$ with an appropriate entry from List-$II$, and choose the correct option.

List-$I$ List-$II$
($P$) ${ }_{92}^{238} U \rightarrow{ }_{91}^{234} \mathrm{~Pa}$ ($1$) one $\alpha$ particle and one $\beta^{+}$particle
($Q$) ${ }_{82}^{214} \mathrm{~Pb} \rightarrow{ }_{82}^{210} \mathrm{~Pb}$ ($2$) three $\beta^{-}$particles and one $\alpha$ particle
($R$) ${ }_{81}^{210} \mathrm{Tl} \rightarrow{ }_{82}^{206} \mathrm{~Pb}$ ($3$) two $\beta^{-}$particles and one $\alpha$ particle
($S$) ${ }_{91}^{228} \mathrm{~Pa} \rightarrow{ }_{88}^{224} \mathrm{Ra}$ ($4$) one $\alpha$ particle and one $\beta^{-}$particle
  ($5$) one $\alpha$ particle and two $\beta^{+}$particles

  • [IIT 2023]

A deutron is bombarded on $_8{O^{16}}$ nucleus and $\alpha$-particle is emitted. The product nucleus is

  • [AIPMT 2002]