Which one of the following statements is false?

  • A
    Pure $Si$ doped with trivalent impurities gives a $p-$type semiconductor.
  • B
    Majority carriers in an $n-$type semiconductor are holes.
  • C
    Minority carriers in a $p-$type semiconductor are electrons.
  • D
    The resistance of an intrinsic semiconductor decreases with an increase in temperature.

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Suppose an $n$-type wafer is created by doping $Si$ crystal having $5 \times 10^{28} \text{ atoms/m}^3$ with $1 \text{ ppm}$ concentration of $As$. On the surface,$200 \text{ ppm}$ Boron is added to create a $p$-region in this wafer. Considering $n_i = 1.5 \times 10^{16} \text{ m}^{-3}$,$(i)$ Calculate the densities of the charge carriers in the $n$ and $p$ regions. $(ii)$ Comment on which charge carriers would contribute largely to the reverse saturation current when the diode is reverse biased.

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