As the temperature increases, the electrical resistance:
1. decreases for conductors but increases for semiconductors.
2. increases for both conductors and semiconductors.
3. decreases for both conductors and semiconductors.
4. increases for conductors but decreases for semiconductors.
Subtopic:  Energy Band theory |
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In a semiconductor,

(a) there are no free electrons at \(0~\text{K}.\)
(b) there are no free electrons at any temperature.
(c) the number of free electrons increases with temperature.
(d) the number of free electrons is less than that in a conductor.
Choose the correct option:
1. (a), (b) 
2. (b), (c)
3. (a), (c), (d)
4. (a), (b), (d)
Subtopic:  Energy Band theory |
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The band gap between the valence band and the conduction band in a certain material is \(3\) eV. What is the longest wavelength of light that can create an electron-hole pair in the material, with the electron in the conduction band and the hole in the valence band? (Take \(hc\) =\(1240\) eV-nm.)
1. \(414\) nm 2. \(300\) nm
3. \(830\) nm 4. \(207\) nm
Subtopic:  Energy Band theory |
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Identify the incorrect statement from the following:
1. The resistivity of a semiconductor increases with an increase in temperature.
2. Substances with an energy gap of the order of \(10\) eV are insulators.
3. In conductors, the valence and conduction bands may overlap.
4. The conductivity of a semiconductor increases with an increase in temperature.
Subtopic:  Energy Band theory |
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Carbon, Silicon, and Germanium atoms have four valence electrons each. Their valence and conduction bands are separated by energy band gaps represented by (Eg)C, (Eg)Si, and (Eg)Ge respectively. Which one of the following relationships is true in their case?

1. (Eg)C<(Eg)Ge

2. (Eg)C>(Eg)Si

3. (Eg)C=(Eg)Si

4. (Eg)C<(Eg)Si

Subtopic:  Energy Band theory |
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\(\mathrm{C}\), \(\mathrm{Si}\), and \(\mathrm{Ge}\) have the same lattice structure. Why is the \(\mathrm{C}\) insulator?

1. because ionization energy for \(\mathrm{C}\) is the least in comparison to \(\mathrm{Si}\) and \(\mathrm{Ge}\).
2. because ionization energy for \(\mathrm{C}\) is highest in comparison to \(\mathrm{Si}\) and \(\mathrm{Ge}\).
3. the number of free electrons for conduction in \(\mathrm{Ge}\) and \(\mathrm{Si}\) is significant but negligibly small for \(\mathrm{C}\).
4. both (2) and (3).

Subtopic:  Energy Band theory |
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