$A$ semiconductor has equal electron and hole concentration of $2 \times 10^8 \ m^{-3}$. On doping with a certain impurity, the electron concentration increases to $4 \times 10^{10} \ m^{-3}$. What is the new hole concentration of the semiconductor?

  • A
    $10^6 \ m^{-3}$
  • B
    $10^8 \ m^{-3}$
  • C
    $10^{10} \ m^{-3}$
  • D
    $10^{12} \ m^{-3}$

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