\(A,B\) and \(C\) are three points in a uniform electric field. The electric potential is:

| 1. | maximum at \(A\) |
| 2. | maximum at \(B\) |
| 3. | maximum at \(C\) |
| 4. | same at all the three points \(A,B\) and \(C\) |
| 1. | \(8~\text{V/m},\) along the negative \(x\text-\)axis |
| 2. | \(8~\text{V/m},\) along the positive \(x\text-\)axis |
| 3. | \(16~\text{V/m},\) along the negative \(x\text-\)axis |
| 4. | \(16~\text{V/m},\) along the positive \(x\text-\)axis |
The electric potential at a point in free space due to a charge \(Q\) coulomb is \(Q\times10^{11}~\text{V}\). The electric field at that point is:
1. \(4\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)
2. \(12\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
3. \(4\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
4. \(12\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)
The figure shows some of the equipotential surfaces. The magnitude and direction of the electric field are given by:

| 1. | \(200~\text{V/m},\) making an angle \(120^\circ\) with the \(x\text-\)axis |
| 2. | \(100~\text{V/m},\) pointing towards the negative \(x\text-\)axis |
| 3. | \(200~\text{V/m},\) making an angle \(60^\circ\) with the \(x\text-\)axis |
| 4. | \(100~\text{V/m},\) making an angle \(30^\circ\) with the \(x\text-\)axis |
| (a) | the electric field is uniform |
| (b) | the electric field is zero |
| (c) | there can be no charge inside the region |
| (d) | the electric field shall necessarily change if a charge is placed outside the region |
Choose the correct statement(s):
| 1. | (b) and (c) | 2. | (a) and (c) |
| 3. | (b) and (d) | 4. | (c) and (d) |
The variation of potential with distance \(x\) from a fixed point is shown in the figure. The electric field at \(x=13~\text m\) is:

| 1. | \(7.5~\text{V/m}\) | 2. | \(-7.5~\text{V/m}\) |
| 3. | \(5~\text{V/m}\) | 4. | \(-5~\text{V/m}\) |