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Q.A pure semiconductor has equal electron and hole concentration of 6×108 m−36\times10^{8}\ \text{m}^{-3}. After doping with a suitable impurity the electron concentration rises to 9×1012 m−39\times10^{12}\ \text{m}^{-3}.

(i) What type of extrinsic semiconductor is formed after doping?
(ii) Calculate new concentration of holes.
Uttarakhand UbseUttarakhand Board Intermediate (Class 12) 2026Subjective· 2mImportance★★★★★
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Concept understanding — Extrinsic Semiconductor (Doping)

Deliberately adding a controlled trace of a chosen impurity atom to an intrinsic semiconductor. A PENTAVALENT dopant (Group 15: P, As, Sb) donates a loosely bound spare electron beyond the four needed for covalent bonding, becoming a fixed positive donor ion and producing an n-type semiconductor (majority carriers: electrons). A TRIVALENT dopant (Group 13: B, Al, Ga, In) leaves one covalent bond incomplete, readily accepting a neighbouring electron, becoming a fixed negative acceptor ion a …

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