\(\mathrm{C},\) \(\mathrm{Si},\) 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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Level 2: 60%+
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Suppose a pure \(\mathrm{Si}\) crystal has \(5\times10^{28}~\text{atoms m}^{-3}.\) It is doped by a \(1~\text{ppm}\) concentration of pentavalent \(\mathrm{As}.\) The number of electrons and holes are, respectively:
(given: \(n_i=1.5\times10^{16}~\text{m}^{-3}\))
1. \(5\times10^{22}~\text{m}^{-3}, 4.5\times10^{9}~\text{m}^{-3}\)
2. \(4.5\times10^{9}~\text{m}^{-3}, 5\times 10^{22}~\text{m}^{-3}\)
3. \(5\times10^{22}~\text{m}^{-3}, 5\times10^{22}~\text{m}^{-3}\)
4. \(4.5\times10^{9}~\text{m}^{-3}, 4.5\times 10^{9}~\text{m}^{-3}\)
Subtopic:  Types of Semiconductors |
 62%
Level 2: 60%+
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Why can't we take one slab of p-type semiconductor and physically join it to another slab of n-type semiconductor to get a p-n junction?

1. the diffusion of majority charge carriers will not occur.
2. the junction will behave as a discontinuity for the flowing charge carriers.
3. the junction will behave as a continuity for the flowing charge carriers.
4. both (1) and (2).

Subtopic:  PN junction |
 79%
Level 2: 60%+
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The \((V\text-I)\) characteristic of a silicon diode is shown in the figure. The resistance of the diode at \(V_D=-10~\text V\) is:

       
1. \(1\times10^7~\Omega~\)
2. \(2\times10^7~\Omega~\)
3. \(3\times10^7~\Omega~\)
4. \(4\times10^7~\Omega~\)

Subtopic:  PN junction |
 81%
Level 1: 80%+
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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 |
 77%
Level 2: 60%+
AIPMT - 2005
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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 \(10~\text{eV}\) 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 |
 81%
Level 1: 80%+
AIPMT - 2005
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Let \(n_{p}\) and \(n_{e}\) be the number of holes and conduction electrons in an intrinsic semiconductor. Then:
1. \(n_{p}> n_{e}\)
2. \(n_{p}= n_{e}\)
3. \(n_{p}< n_{e}\)
4. \(n_{p}\neq n_{e}\)

Subtopic:  Types of Semiconductors |
 84%
Level 1: 80%+
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A \(\mathrm{p}\text-\)type of semiconductor is:
1. positively charged
2. negatively charged
3. uncharged
4. uncharged at \(0~\text{K}\) but charged at higher temperatures

Subtopic:  Types of Semiconductors |
 60%
Level 2: 60%+
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When an impurity is doped into an intrinsic semiconductor, the conductivity of the semiconductor:
1. increases
2. decreases
3. remains the same
4. becomes zero

Subtopic:  Types of Semiconductors |
 84%
Level 1: 80%+
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In a semiconductor;

(A) there are no free electrons at \(0^\circ\text{K}.\)
(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 from the given ones:
1. (A) and (B) only 
2. (B) and (C) only
3. (A), (C), and (D) only
4. (A), (B), and (D) only
Subtopic:  Energy Band theory |
 86%
Level 1: 80%+
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