For intrinsic semiconductors, the Fermi energy is half way between the valence band and the conduction band
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The given statement is true.
An intrinsic semi-conductor behaves purely as an insulator at a temperature of absolute zero. Free electrons are generated along with holes with an increase in temperature.
In case of an intrinsic semi-conductor, there are equal number of electrons and holes in the conduction band and valence band respectively.
Therefore, fermi level lies exactly in the middle of the forbidden band( the energy level gap between valence band and conduction band). This means that fermi energy level is half way between the conduction and valence band.
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