$A$ silicon sample is made into a $p$-type semiconductor by doping. Indium atoms are added at a rate of one atom per $5 \times 10^7$ silicon atoms. If the number density of silicon is $5 \times 10^{28} \text{ atoms/m}^3$,calculate the number density of acceptor atoms per $\text{cm}^3$.

  • A
    $5 \times 10^{15} \text{ atoms/cm}^3$
  • B
    $10^{18} \text{ atoms/cm}^3$
  • C
    $10^{15} \text{ atoms/cm}^3$
  • D
    $5 \times 10^{17} \text{ atoms/cm}^3$

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