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Q. No.Two non-ideal batteries are connected in series. Consider the following statements:
A:
The equivalent emf is larger than either of the two emfs.
B:
The equivalent internal resistance is smaller than either of the two internal resistances.
1.
Each of A and B is correct.
2.
A is correct but B is wrong.
3.
B is correct but A is wrong.
4.
Each of A and B is wrong.
Subtopic: Grouping of Cells |
69%
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Two non-ideal batteries are connected in parallel. Consider the following statements:
| Statement I: | The equivalent EMF is smaller than either of the two EMFs. |
| Statement II: | The equivalent internal resistance is smaller than either of the two internal resistances. |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Statement I is correct but Statement II is incorrect. |
| 3. | Statement II is correct but Statement I is incorrect. |
| 4. | Both Statement I and Statement II are incorrect. |
Subtopic: Grouping of Cells |
52%
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The electrons are emitted by a hot filament and are accelerated by an electric field as shown in the figure. The two stops at the left ensure that the electron beam has a uniform cross-section.
| (a) | The speed of the electron is more at \(B\) than at \(A.\) |
| (b) | The electric current is from left to right. |
| (c) | The magnitude of the current is larger at \(B\) than at \(A.\) |
| (d) | The current density is more at \(B\) than at \(A.\) |
| 1. | (a) only |
| 2. | (b) and (c) only |
| 3. | (c) and (d) only |
| 4. | (a) and (d) only |
Subtopic: Current & Current Density |
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When no current is passed through a conductor,
| (a) | the free electrons do not move. |
| (b) | the average speed of a free electron over a large period of time is zero. |
| (c) | the average velocity of a free electron over a large period of time is zero. |
| (d) | the average of the velocities of all the free electrons at an instant is zero. |
Choose the correct option:
| 1. | (a) only | 2. | (b), (c) |
| 3. | (c), (d) | 4. | (a), (d) |
Subtopic: Current & Current Density |
56%
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Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?
| (a) | drift speed |
| (b) | resistivity |
| (c) | resistance |
| (d) | the number of free electrons |
Choose the correct option:
| 1. | (d) only | 2. | (b), (c) |
| 3. | (c), (d) | 4. | (a), (d) |
Subtopic: Derivation of Ohm's Law |
53%
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As the temperature of a conductor increases, its resistivity and conductivity change. The ratio of resistivity to conductivity:
| (a) | increases |
| (b) | decreases |
| (c) | remains constant |
| (d) | may increase or decrease depending on the actual temperature |
Choose the correct option:
1. (a) only
2. (b), (c)
3. (c), (d)
4. (a), (d)
59%
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A current passes through a wire of non-uniform cross-section. Which of the following quantities are independent of the cross-section?
| (a) | the charge crossing in a given time interval |
| (b) | drift speed |
| (c) | current density |
| (d) | free-electron density |
Choose the correct option from the given ones:
| 1. | (a) \(\text { only }\) | 2. | (b) and (c) \(\text { only}\) |
| 3. | (c) and (d) \(\text { only }\) | 4. | (a) and (d) \(\text { only }\) |
Subtopic: Current & Current Density |
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A capacitor of capacitance 500 µF is connected to a battery through a 10 kΩ resistor. The charge stored on the capacitor in the first 5 s is larger than the charge stored in the next
(a) 5 s
(b) 50 s
(c) 500 s
(d) 500 s
(a) 5 s
(b) 50 s
(c) 500 s
(d) 500 s
Choose the correct option
1. (a) only
2. (b), (c)
3. (c), (d)
4. All of these
58%
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Which of the following plots may represent the thermal energy produced in a resistor in a given time as a function of the electric current?
1. \(a\)
2. \(b\)
3. \(c\)
4. \(d\)
Subtopic: Heating Effects of Current |
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A constant current \(i\) is passed through a resistor. Taking the temperature coefficient of resistance into account, indicate which of the plots shown in the figure, best represents the rate of production of thermal energy in the resistor:
| 1. | \(a\) | 2. | \(b\) |
| 3. | \(c\) | 4. | \(d\) |
Subtopic: Heating Effects of Current |
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