In the case of a potentiometer, if the resistance of the rheostat is increased, then the balancing length for the same cell in the secondary circuit will:

1.  increase

2.  decrease

3.  remain the same

4.  increase or decrease

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A coil heating a bucket full of water raises the temperature by \(5^{\circ}\text{C}\) in \(2\) min. lf the current in the coil is doubled, what will be the change in the temperature of water in \(1\) min? (Assume no loss of heat to the surroundings)
1. \(10^{\circ}\text{C}\) 2. \(5^{\circ}\text{C}\)
3. \(20^{\circ}\text{C}\) 4. \(15^{\circ}\text{C}\)
Subtopic:  Heating Effects of Current |
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Level 2: 60%+
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If the potential difference across ends of a metallic wire is doubled, the drift velocity of charge carriers will become:
1. double 
2. half
3. four times
4. one-fourth 

Subtopic:  Current & Current Density |
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The resistance between terminals \(A\) and \(B\) is:

1. \(5~\Omega\) 2. \(15~\Omega\)
3. \(10~\Omega\) 4. \(20~\Omega\)
Subtopic:  Combination of Resistors |
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What is the ratio of currents flowing in the resistors \(x\) and \(y\) of resistance \(10~\Omega\) each?
               
1. \(1\)

2. \(0.5\)

3. \(1.5\)

4. \(2.0\)

Subtopic:  Kirchoff's Voltage Law |
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What is the equivalent resistance between points \(a\) and \(b\), if the value of each resistance is \(R\)?

       

1. \(7R\) 2. \(5R\)
3. \(4R\) 4. \(3R\)
Subtopic:  Wheatstone Bridge |
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What is the value of current \(I\) in the network shown below?

   
1. \(2\) A 2. \(3\) A
3. \(4\) A 4. \(7\) A
Subtopic:  Kirchoff's Current Law |
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A current passes through a wire of variable cross-section in steady-state as shown. Then incorrect statement is:

     

1. Current density increases in the direction of the current.
2. Potential increases in the direction of the current.
3. Electric field increases in the direction of the current.
4. Drift speed increases in the direction of the current.

Subtopic:  Current & Current Density |
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The value of E (emf of the cell) in the circuit given below is:
  

1. 24 V 2. 32 V
3. 16 V 4. 8 V
Subtopic:  EMF & Terminal Voltage |
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Two cells of emf \(E\) and internal resistance \(r_1\) and \(r_2\) are connected in series through an external resistance \(R\). The value of \(R\) for which the potential difference across one of the cells becomes zero will be:

1. \(\dfrac{r_{1} r_{2}}{r_{1}   +   r_{2}}\) 2. \(r_{1} + r_{2}\)
3. \(|r_{1} - r_{2}|\) 4. \(\dfrac{r_{1}}{r_{2}}\)
Subtopic:  Grouping of Cells |
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Level 3: 35%-60%
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