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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Level 2: 60%+
AIPMT - 2009
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A battery of emf \(E\) and internal resistance \(r\) is connected to a variable resistor \(R\) as shown below. Which one of the following is true​​​​​?

           

1. The potential difference across the terminals of the battery is maximum when \(R=r.\)
2. The power delivered to the resistor is maximum when \(R=r.\)
3. The current in the circuit is maximum when \(R=r.\)
4. The current in the circuit is maximum when \(R>>r.\)
Subtopic:  EMF & Terminal Voltage |
 66%
Level 2: 60%+
PMT - 1995
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For a cell, the graph between the potential difference \((V)\) across the terminals of the cell and the current \((I)\) drawn from the cell is shown in the figure below. The emf and the internal resistance of the cell are, respectively:

             
1. \(2~\text{V}, 0.5 ~\Omega\) 2. \(2~\text{V}, 0.4 ~\Omega\)
3. \(>2~\text{V}, 0.5 ~\Omega\) 4. \(>2~\text{V}, 0.4 ~\Omega\)
Subtopic:  EMF & Terminal Voltage |
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Level 2: 60%+
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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 |
 62%
Level 2: 60%+
AIPMT - 2012
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A car battery of emf \(12~\text{V}\) and internal resistance \(5\times 10^{-2}~\Omega\) receives a current of \(60~\text{A}\) from an external source. The terminal voltage of the battery is:

1. \(12~\text{V}\) 2. \(9~\text{V}\)
3. \(15~\text{V}\) 4. \(20~\text{V}\)
Subtopic:  EMF & Terminal Voltage |
 55%
Level 3: 35%-60%
AIPMT - 2000
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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 |
 70%
Level 2: 60%+
AIPMT - 2004
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For a cell, the terminal potential difference is \(2.2~\text V\) when the circuit is open and reduces to \(1.8~\text V\) 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 |
 73%
Level 2: 60%+
AIPMT - 2002
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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 |
 75%
Level 2: 60%+
NEET - 2022
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A battery with an EMF of \(10~\text V\) and an internal resistance of \(1~\Omega\) is connected to an external resistance of \(4~\Omega,\) as shown in the figure. The terminal voltage of the battery in this configuration is:

1. \(6~\text V\)
2. \(8~\text V\)
3. \(10~\text V\)
4. \(4~\text V\)
Subtopic:  EMF & Terminal Voltage |
 69%
Level 2: 60%+
NEET - 2024
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A battery has emf \(4\) V and internal resistance \(r\). When this battery is connected to an external resistance of \(2\) ohm, a current of \(1\) ampere flows in the circuit. How much current will flow if the terminals of the battery are connected directly?
1. \(1\) A 2. \(2\) A
3. \(4\) A 4. Infinite
Subtopic:  EMF & Terminal Voltage |
 66%
Level 2: 60%+
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