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

  • A

    $Z -3, N -1$

  • B

    $Z -2, N -2$

  • C

    $Z -1, N -3$

  • D

    $Z, N -4$

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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
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  ($5$) one $\alpha$ particle and two $\beta^{+}$particles

  • [IIT 2023]

A nucleus of an element $_{84}{X^{202}}$ emits an $\alpha-$ particle first, a $\beta-$ particle next and then a gamma photon. The final nucleus formed has an atomic number

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