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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 |
 74%
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An electric field is applied to a semiconductor. Let the number of charge carriers be \(n\) and the average drift speed be \(v.\) If the temperature is increased, then:

1. both \(n\) and \(v\) will increase.
2. \(n\) will increase but \(v\) will decrease.
3. \(v\) will increase but \(n\) will decrease.
4. both \(n\) and \(v\) will decrease.
Subtopic:  Types of Semiconductors |
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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%
From NCERT
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The cut-off voltage of the diodes (shown in the figure) in forward bias is \(0.6~\text{V}\). The current through the resister of \(40~ \Omega\) is:
                     
1. \(2~\text{mA}\)
2. \(4~\text{mA}\)
3. \(6~\text{mA}\)
4. \(8~\text{mA}\)
Subtopic:  PN junction |
 78%
From NCERT
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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 |
 87%
From NCERT
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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 |
 85%
From NCERT
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Given below are two statements: 
Assertion (A): The value of current through \(\mathrm{p\text-n}\) junction in the given figure will be \(10~\text{mA}.\)
 
Reason (R): In the above figure, \(\mathrm{p\text-}\)side is at a higher potential than \(\mathrm{n\text-}\)side.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  PN junction |
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If a full-wave rectifier circuit is operating from \(50~\text{Hz}\) mains, the fundamental frequency in the ripple will be:
1. \(25~\text{Hz}\)
2. \(50~\text{Hz}\)
3. \(70.7~\text{Hz}\)
4. \(100~\text{Hz}\)

Subtopic:  Rectifier |
 70%
From NCERT
AIPMT - 2003
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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 |
 61%
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The dominant contribution to current comes from holes in the case of:
1. metals
2. intrinsic semiconductors
3. \(\mathrm{p} \text-\)type extrinsic semiconductors
4. \(\mathrm{n} \text-\)type extrinsic semiconductors
Subtopic:  Types of Semiconductors |
 91%
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