When a current \(i\) flows through a conductor, the drift velocity of free electrons is \(v.\) If the current is increased to \(2i,\) and the cross-sectional area of the conductor is doubled, what will be the new drift velocity of the free electrons?
1. \(\dfrac{v}{4}\) 2. \(\dfrac{v}{2}\)
3. \(v\) 4. \(4v\)

Subtopic:  Current & Current Density |
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In the given figure, the equivalent resistance between the points \(A\) and \(B\) is:

1. \(8~\Omega\)

2. \(6~\Omega\)

3. \(4~\Omega\)

4. \(2~\Omega\)
Subtopic:  Combination of Resistors |
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What would be the value of current through \(2\) \(\Omega\) resistance for the given circuit in the figure?

     
1. zero
2. \(2\) A
3. \(5\) A
4. \(4\) A
Subtopic:  Kirchoff's Current Law |
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Given below are two statements: 
Assertion (A): In the Wheatstone Bridge shown in the figure, if the resistances in opposite arms are switched (i.e. \(Q, R \) are exchanged) then the bridge remains balanced if it was initially balanced. 
Reason (R): The balance condition \(\dfrac P Q\) = \(\dfrac R S\) is not affected if resistances in opposite arms are switched. 
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True and (R) is the correct explanation of  (A).
4. Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Wheatstone Bridge |
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The figure shows a circuit with two cells connected in opposition. One cell has an EMF of \(6~\text{V}\) and an internal resistance of \({2}~\Omega,\) while the other cell has an EMF of \(4~\text{V}\) and an internal resistance of \({8}~\Omega.\) The potential difference across the terminals \(X\) and \(Y\) is:
1. \(5.4\) V 2. \(5.6\) V
3. \(5.8\) V 4. \(6.0\) V
Subtopic:  Grouping of Cells |
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Two electric bulbs, one of \(200~\text{V}-40~\text{W}\) and the other of \(200~\text{V}-100~\text{W}\) are connected in a domestic circuit. Then:
1. they have equal currents through them.
2. the resistances of both the bulbs are the same.
3. the resistance of the bulb of \(40~\text{watts}\)  is more.
4. the resistance of the bulb of \(100~\text{watts}\)  is more.
Subtopic:  Heating Effects of Current |
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A house is served by \(220~\text{V}\) supply line. In a circuit protected by a fuse marked by \(9~\text{A},\) the maximum number of \(60~\text{W}\) lamps in parallel that can be turned on, is:
1. \(44\)
2. \(20\)
3. \(22\)
4. \(33\)
Subtopic:  Heating Effects of Current |
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In the adjoining figure, the galvanometer reads zero. The resistance \(x\) is:
           
1. \(7~\Omega\) 2. \(14~\Omega\)
3. \(21~\Omega\) 4. \(28~\Omega\)
Subtopic:  Wheatstone Bridge |
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A nichrome wire \(50~\text{cm}\) long and \(1~\text{mm}^{2}\) cross-section carries a current of \(4~\text{A}\) when connected to a \(2~\text{V}\) battery. The resistivity of nichrome wire is:
1. \(1\times 10^{-6} ~\Omega-\text{m}\)
2. \(4\times 10^{-7}~\Omega-\text{m}\)
3. \(3\times 10^{-7}~\Omega-\text{m}\)
4. \(2\times 10^{-7}~\Omega-\text{m}\)
Subtopic:  Derivation of Ohm's Law |
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The given, figure represents a meter bridge setup, with the galvanometer showing null deflection at the balance point.
            
What is the value of the unknown resistor \(R?\)
1. \(13.75~\Omega\)
2. \(220~\Omega\)
3. \(110~\Omega\)
4. \(55~\Omega\)

Subtopic:  Meter Bridge |
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