The Fermi level in intrinsic semi-conductors at $0 K$ temperature lies :

Near the conduction band

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Near the valence band

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In the middle of valence and conduction band

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Inside the conduction band

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Solution

The correct option is B In the middle of valence and conduction band
At $0 K$ , the intrinsic semi-conductor acts as a perfect insulator. The number of holes in the valance band is equal to the number of electrons in the conduction band.
So the probability of occupation of energy levels in conduction band and valence band are equal.
Thus the Fermi-level for an intrinsic semiconductor, at $0 K$ , lies in the middle of valence and conduction band.
It indicates equal concentration of electrons and holes.

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