Q. No.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. \(6250\) \(\Omega\)
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 wrong. |
| 3. | Statement II is correct but Statement I is wrong. |
| 4. | Both Statement I and Statement II are wrong |
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
Choose the correct option
1. (a) only
2. (b), (c)
3. (c), (d)
4. (a), (d)
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
1. (a) only
2. (b), (c)
3. (c), (d)
4. (a), (d)
(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
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