When the potential difference applied in a conductor is doubled and also the length of the conductor is halved, the drift speed of electrons in the conductor will:
1. not change
2. be halved
3. be four times
4. be doubled

Subtopic:  Current & Current Density |
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In the figure shown, each resistor has resistance \(R.\) Match Column I and Column II.
                               
Column I Column II
(A) Equivalent resistance between \(a\) and \(b\) (P) \(\dfrac{R}{2}\)
(B) Equivalent resistance between \(a\) and \(c\) (Q) \(\dfrac{5R}{8}\)
(C) Equivalent resistance between \(b\) and \(d\) (R) \(R\)
 
1. A → P, B → Q, C → R
2. A → Q, B → P, C → R
3. A → R, B → P, C → Q
4. A → R, B → Q, C → P
Subtopic:  Wheatstone Bridge |
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A wire made of a metal of uniform resistivity \(1.0\times 10^{-6}~\Omega{\text{-m}}\)  is \(2.0~\text{m}\) long and has a diameter of \(2.0\times 10^{-3}~\text{m}\). What is the electrical resistance of this length of the wire?
1. \(\frac {2.0 ~\times~10^{-3}}{\pi} ~\Omega\)
2. \(5.0 ~\times~10^{-13}\pi~\Omega\)
3. \(\frac {1.0}{2\pi}~\Omega\)
4. \(\frac{2.0}{\pi}~\Omega\)
Subtopic:  Derivation of Ohm's Law |
 82%
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In the given figure, the value of \(V_{0}\) will be: 
           
1. \(2\) V
2. \(4\) V
3. \(6\) V
4. \(3\) V
Subtopic:  Kirchoff's Voltage Law |
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A circuit consists of five identical conductors as shown in the figure. The two similar conductors are added as indicated by the dotted lines. The ratio of resistances before and after addition will be:
     
1. \(7/5\)
2. \(3/5\)
3. \(5/3\)
4. \(6/5\)
Subtopic:  Combination of Resistors |
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Given below are two statements:
Assertion (A): In a simple battery circuit, the point of the lowest potential is positive terminal of the battery.
Reason (R): The current flows towards the point of the higher potential, as it does in such a circuit from the negative to the positive terminal.
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:  Current & Current Density |
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Given below are two statements: 
Assertion (A): Insulators do not allow flow of current through themselves.
Reason (R): They have no free charge carriers.
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:  Current & Current Density |
 92%
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Given below are two statements: 
Assertion (A): A \(60\) W - \(220\) V bulb glows more than a \(100\) W - \(220\) V bulb when they are connected in series across a potential difference.
Reason (R): When they are connected in series, the resistance of the \(100\) W bulb will be more.
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:  Heating Effects of Current |
 64%
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Given below are two statements: 
Assertion (A): Though a large number of free electrons are present in the metal. Yet there is no current in the absence of an electric field.
Reason (R): In the absence of an electric field, electrons move randomly in all directions.
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:  Current & Current Density |
 87%
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The plot of current \(I~\text{(A)}\) flowing through a metallic conductor versus the applied voltage \(V~\text{(volt)}\) across the ends of a conductor is:

1.   2.
3. 4.
Subtopic:  Derivation of Ohm's Law |
 79%
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