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 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)
Choose the correct option
1. (a) only
2. (b), (c)
3. (c), (d)
4. All of these