| 1. | increases |
| 2. | decreases |
| 3. | remains constant |
| 4. | first increases then decreases |
| 1. | \(-\dfrac{q}{2 \pi^{} \varepsilon_{0} r^{}} \) | 2. | \(-\dfrac{q}{4 \pi^{} \varepsilon_{0} r^{}} \) |
| 3. | \(\dfrac{q}{4 \pi^{} \varepsilon_{0} r^{}} \) | 4. | \(0\) |

The graph of electric potential \((V)\) versus distance \((r) \) is shown in the diagram. The value of the electric field at a distance \(A\) will be:

1. \(5\text{ V/m}\)
2. \(-10\text{ V/m}\)
3. \(-5\text{ V/m}\)
4. \(10\text{ V/m}\)
An electric dipole of moment \(p\) is placed in a uniform electric field \(E\) such that the dipole axis is initially perpendicular to the direction of the electric field. The dipole is then slowly rotated in the field until it has turned through a total angle of \(180^\circ.\) What is the total work done by the external agent in rotating the dipole?
1. \(pE\)
2. \(pE/2\)
3. \(2pE\)
4. zero
A thin, metallic spherical shell contains a charge \(\mathrm{Q}\) on it. A point charge \(\mathrm{q}\) is placed at the centre of the shell and another charge \(\mathrm{q}_1\) is placed outside as it is shown in the figure. All the three charges are positive. The force on the charge at the centre is:
1. towards left
2. towards right
3. upward
4. zero
| 1. | depends on the square of surface charge density. |
| 2. | depends on the separation between the plates. |
| 3. | depends directly on the plate area of each plate. |
| 4. | depends directly on the dielectric constant of the medium. |
Three identical capacitors are connected as follows:

Which of the following shows the order of increasing capacitance (smallest first)?
| 1. | \(\mathrm{(3), (2), (1)}\) | 2. | \(\mathrm{(1), (2), (3)}\) |
| 3. | \(\mathrm{(2), (1), (3)}\) | 4. | \(\mathrm{(2), (3), (1)}\) |
| 1. | \(\dfrac{1}{2} \varepsilon_{o} \dfrac{V^{2}}{d^{2}}\) | 2. | \(\dfrac{1}{2 \varepsilon_{o}} \dfrac{V^{2}}{d^{2}}\) |
| 3. | \(\dfrac{1}{2} C V^{2}\) | 4. | \(\dfrac{Q^{2}}{2 C}\) |