Q. No.Two resistances \(R\) and \(2R\) are connected in parallel in an electric circuit. The thermal energy developed in \(R\) and \(2R\) are in the ratio:
1. \(1 : 2\)
2. \(2 : 1\)
3. \( 1 : 4\)
4. \(4 : 1\)
1. \(1 : 2\)
2. \(2 : 1\)
3. \( 1 : 4\)
4. \(4 : 1\)
A uniform wire of resistance \(50~\Omega\) \(\) is cut into \(5\) equal parts. These parts are now connected in parallel. The equivalent resistance of the combination is:
| 1. | \(2~\Omega\) \(\) | 2. | \(10~\Omega\) \(\) |
| 3. | \(250~\Omega\) \(\) | 4. | \(6250~\Omega\) |
Consider the following two statements:
| Statement I: | Kirchhoff’s junction law follows from the conservation of charge. |
| Statement II: | Kirchhoff’s loop law follows from the conservative nature of the electric field. |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Statement I is correct but Statement II is incorrect. |
| 3. | Statement I is incorrect but Statement II is correct. |
| 4. | Both Statement I and Statement II are incorrect. |
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. |
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. |
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 |
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) |
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) |
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)
| (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) \(\text { only }\) |
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