In the case of a potentiometer, if the resistance of the rheostat is increased, then the balancing length for the same cell in the secondary circuit will:
1. increase
2. decrease
3. remain the same
4. increase or decrease
| 1. | \(10^{\circ}\text{C}\) | 2. | \(5^{\circ}\text{C}\) |
| 3. | \(20^{\circ}\text{C}\) | 4. | \(15^{\circ}\text{C}\) |
If the potential difference across ends of a metallic wire is doubled, the drift velocity of charge carriers will become:
1. double
2. half
3. four times
4. one-fourth
The resistance between terminals \(A\) and \(B\) is:
| 1. | \(5~\Omega\) | 2. | \(15~\Omega\) |
| 3. | \(10~\Omega\) | 4. | \(20~\Omega\) |
What is the ratio of currents flowing in the resistors \(x\) and \(y\) of resistance \(10~\Omega\) each?

1. \(1\)
2. \(0.5\)
3. \(1.5\)
4. \(2.0\)

| 1. | \(7R\) | 2. | \(5R\) |
| 3. | \(4R\) | 4. | \(3R\) |
What is the value of current \(I\) in the network shown below?
| 1. | \(2\) A | 2. | \(3\) A |
| 3. | \(4\) A | 4. | \(7\) A |
A current passes through a wire of variable cross-section in steady-state as shown. Then incorrect statement is:

| 1. | Current density increases in the direction of the current. |
| 2. | Potential increases in the direction of the current. |
| 3. | Electric field increases in the direction of the current. |
| 4. | Drift speed increases in the direction of the current. |
The value of E (emf of the cell) in the circuit given below is:
| 1. | 24 V | 2. | 32 V |
| 3. | 16 V | 4. | 8 V |
Two cells of emf \(E\) and internal resistance \(r_1\) and \(r_2\) are connected in series through an external resistance \(R\). The value of \(R\) for which the potential difference across one of the cells becomes zero will be:
| 1. | \(\dfrac{r_{1} r_{2}}{r_{1} + r_{2}}\) | 2. | \(r_{1} + r_{2}\) |
| 3. | \(|r_{1} - r_{2}|\) | 4. | \(\dfrac{r_{1}}{r_{2}}\) |