$A$ radioactive nucleus emits $4 \alpha$ particles and $7 \beta$ particles in succession. The ratio of the number of neutrons to that of protons in the final nucleus is $[A = \text{mass number}, Z = \text{atomic number}]$

  • A
    $\frac{A-Z-13}{Z-1}$
  • B
    $\frac{A-Z-15}{Z-1}$
  • C
    $\frac{A-Z-11}{Z-2}$
  • D
    $\frac{A-Z-13}{Z-2}$

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