The band gaps of an insulator, conductor and semi conductor are respectively $E_{g 1}$ , $E_{g 2}$ and $E_{g 3}$ . The relationship between them is given as ____________.

E_{g 1} > E_{g 2} < E_{g 3}

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E_{g 1} > E_{g 2} > E_{g 3}

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E_{g 1} < E_{g 2} > E_{g 3}

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E_{g 1} < E_{g 2} < E_{g 3}

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Solution

The correct option is A $E_{g 1} > E_{g 2} < E_{g 3}$
The valence band and the conduction band in conductor overlap each other, so there is no band gap in conductor. On the other hand, insulator has the largest band gap among these three.
Increasing order of band gap :
Conductor < Semi conductor < Insulator
$⟹ E_{g 2} < E_{g 3} < E_{g 1}$
Hence option A is correct.

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