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

  • A

    $\frac{{A - Z - 12}}{{Z - 6}}$

  • B

    $\frac{{A - Z}}{{Z - 1}}$

  • C

    $\frac{{A - Z - 11}}{{Z - 6}}$

  • D

    $\frac{{A - Z - 11}}{{Z - 1}}$

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  • [KVPY 2009]

After one $\alpha $ and two $\beta $ emissions

  • [AIPMT 1999]

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$(iv)$ $\beta$ -decay of $^{210}_{83}Bi$

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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

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