The terminal voltage of the battery, whose emf is \(10~\text V\) and internal resistance  \(1~\Omega,\) when connected through an external resistance of \(4~\Omega\) as shown in the figure is:
              
1. \(6~\text V\) 2. \(8~\text V\)
3. \(10~\text V\) 4. \(4~\text V\)
Subtopic:  EMF & Terminal Voltage |
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A cell of emf  \(4~\text{V}\) and internal resistance \(0.5~\Omega\) is connected to a \(7.5~\Omega\) external resistance. The terminal potential difference of the cell is:
1. \(3.75~\text{V}\) 2. \(4.25~\text{V}\)
3. \(4~\text{V}\) 4. \(0.375~\text{V}\)
Subtopic:  EMF & Terminal Voltage |
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A set of '\(n\)' equal resistors, of value '\(R\)' each, are connected in series to a battery of emf '\(E\)' and internal resistance '\(R\)'. The current drawn is \(I.\) Now, if '\(n\)' resistors are connected in parallel to the same battery, then the current drawn becomes \(10I.\) The value of '\(n\)' is:

1. \(10\) 2. \(11\)
3. \(20\) 4. \(9\)
Subtopic:  EMF & Terminal Voltage |
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Internal resistance of a \(2.1~\text{V}\) cell which gives a current of \(0.2~\text{A}\) through a resistance of \(10~\Omega\) is:
1. \(0.5~\Omega\)
2. \(0.8~\Omega\)
3. \(1.0~\Omega\)
4. \(0.2~\Omega\)
Subtopic:  EMF & Terminal Voltage |
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A cell having an emf \(\varepsilon\) and internal resistance \(r\) is connected across a variable external resistance \(R\). As the resistance \(R\) is increased, the plot of potential difference \(V\) across \(R\) is given by:

1. 2.
3. 4.
Subtopic:  EMF & Terminal Voltage |
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A current of \(2~\text{A}\) flows through a \(2~\Omega\) resistor when connected across a battery. The same battery supplies a current of \(0.5~\text{A}\) when connected across a \(9~\Omega\) resistor. The internal resistance of the battery is:

1. \(\dfrac{1}{3}~\Omega\) 2. \(\dfrac{1}{4}~\Omega\)
3. \(1~\Omega\) 4. \(0.5~\Omega\)
Subtopic:  EMF & Terminal Voltage |
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A student measures the terminal potential difference \(V\) of a cell (of emf \( E\) and internal resistance \(R\)) as a function of the current \(I\) flowing through it. The slope and intercept of the graph between \(V\) and \(I\), respectively, is equal to:
1. \(E\) and \(-r\)
2. \(-r\) and \(E\)
3. \(r\) and \(-E\)
4. \(-E\) and \(r\)
Subtopic:  EMF & Terminal Voltage |
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In the circuit shown, the current through the 4Ω resistors is 1 A when the points P and M are connected to a DC voltage source. The potential difference between the points M and N is:

            

1.  1.5 V

2.  1.0 V

3.  0.5 V

4.  3.2 V

Subtopic:  Combination of Resistors | EMF & Terminal Voltage |
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A battery is charged at a potential of \(15\) V for \(8\) hours when the current flowing is \(10\) A. The battery on discharge supplies a current of \(5\) A for \(15\) hours. The mean terminal voltage during discharges is \(14\) V. The "Watt hour" efficiency of the battery is:
1. \(80\%\)
2. \(90\%\)
3. \(87.5\%\)
4. \(82.5\%\)

Subtopic:  EMF & Terminal Voltage |
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For a cell, the terminal potential difference is \(2.2\) V when the circuit is open and reduces to \(1.8\) V when the cell is connected to the resistance of \(R = 5~\Omega\). The internal resistance of cell (\(r\)) is:

1. \(\dfrac{10}{9}~ \Omega\) 2. \(\dfrac{9}{10}~ \Omega\)
3. \(\dfrac{11}{9}~ \Omega\) 4. \(\dfrac{5}{9}~ \Omega\)
Subtopic:  EMF & Terminal Voltage |
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