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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Level 1: 80%+
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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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Level 1: 80%+
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Given below are two statements:
Assertion (A): As the drift velocity decreases, the current flowing through the conductor decreases.
Reason (R): The current flowing through a conductor is directly proportional to the drift velocity.
 
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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Level 1: 80%+
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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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Level 1: 80%+
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In the electrical network shown below, resistors are connected between points, \(P\) and \(Q.\) Each corner branch contains a resistance of \(2R,\) while the central horizontal branch contains two resistors of resistance \(r\) each. The vertical branch resistors also have a resistance of \(2R\) each.


What is the effective resistance between points \(P\) and \(Q\text{?}\)
1. \(2 R r /(R+r)\) 2. \(8 R(R+r) /(3 R+r)\)
3. \((2r+4R)\) 4. \((5R/2+2r)\)
Subtopic:  Combination of Resistors |
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Level 1: 80%+
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The current in a simple series circuit is \(5.0\) A. When an additional resistance of \(2.0\) \(\Omega\)  is inserted, the current decreases to \(4.0\) A. The original resistance of the circuit  was:
1. \(1.25\) \(\Omega\)
2. \(8\) \(\Omega\)
3. \(10\) \(\Omega\)
4. \(20\) \(\Omega\)

Subtopic:  Combination of Resistors |
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A current of \(15\) mA flows in the circuit as shown in the figure. The value of the potential difference between the points \(A\) and \(B\) will be: 
            
1. \(50\)
2. \(75\)
3. \(150\)
4. \(275\)
Subtopic:  Combination of Resistors |
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Level 1: 80%+
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