In pure $Si$ at $300 \ K$,the concentration of electrons $(n_e)$ and holes $(n_h)$ is equal and is $1.5 \times 10^{16} \ m^{-3}$. If the concentration of holes $(n_h)$ increases to $3 \times 10^{22} \ m^{-3}$ after doping with Indium,calculate the concentration of electrons $(n_e)$ in the doped $Si$.

  • A
    $3.5 \times 10^5 \ m^{-3}$
  • B
    $7.5 \times 10^9 \ m^{-3}$
  • C
    $2.5 \times 10^{-9} \ m^{-3}$
  • D
    $5.5 \times 10^{12} \ m^{-3}$

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