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Asked in GUJCET 2024 · Energy bands and band gap
Idea: jumping the forbidden band means lifting an electron out of the valence band, across the energy gap, into the conduction band. The energy that costs is the band gap E_g.
For germanium at room temperature E_g=0.72 eV; for silicon it is 1.1 eV and for diamond about 5.4 eV.
Because germanium's gap is the narrowest of those, thermal energy at room temperature does lift a small number of its electrons across, each leaving a hole behind -- that is what makes intrinsic germanium a semiconductor rather than an insulator.
So the energy required is 0.72 eV.
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