Suppose a pure $Si$ crystal has $5 \times 10^{28}$ atoms $m^{-3}$. It is doped by $1$ ppm concentration of pentavalent $As$. Calculate the number of holes. Given that $n_i = 1.5 \times 10^{16} m^{-3}$.
- A$5.4 \times 10^{-9} m^{-3}$
- B$5.4 \times 10^{9} m^{-3}$
- C$4.5 \times 10^{-9} m^{-3}$
- D$4.5 \times 10^{9} m^{-3}$
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