| List I | List II | ||
| A | Intrinsic Semiconductor | I | Fermi-level near the conduction band |
| B | n-type semiconductor | II | Fermi-level in the middle of valence and conduction band |
| C | p-type semiconductor | III | Fermi-level near the valence band |
| D | Metals | IV | Fermi-level inside the conduction band |
The correct option is: (d) A-II, B-III, C-I, D-IV
Intrinsic semiconductor: The Fermi-level is in the middle of the valence and conduction bands.
In n-type semiconductor: The Fermi-level is near the conduction band.
In p-type semiconductor: The Fermi-level is near the valence band.
In metals: The Fermi-level is inside the conduction band.


Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.
Semiconductors are a crystalline solid materials, whose electrical conductivity lies between a conductor and an insulator. Semiconductors are mainly used in the manufacturing of electronic devices like capacitors, transistors, diodes, Integrated circuits, etc.