On rotating a point charge having a charge \(q\) around a charge \(Q\) in a circle of radius \(r,\) the work done will be:
1. | \(q \times2 \pi r\) | 2. | \(q \times2 \pi Q \over r\) |
3. | zero | 4. | \(Q \over 2\varepsilon_0r\) |
Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately:
1. | spheres | 2. | planes |
3. | paraboloids | 4. | ellipsoids |
In a certain charge distribution, all points having zero potential can be joined by a circle \(S.\) The points inside \(S\) have positive potential, and points outside \(S\) have a negative potential. A positive charge, which is free to move, is placed inside \(S.\) What is the correct statement about \(S\):
1. | It will remain in equilibrium |
2. | \(S,\) but it cannot cross \(S\) | It can move inside
3. | \(S\) at some time | It must cross
4. | It may move, but will ultimately return to its starting point |
The diagrams below show regions of equipotentials.
1. | the maximum work is required to move \(q\) in figure(iii). |
2. | in all four cases, the work done is the same. |
3. | the minimum work is required to move \(q\) in the figure(i). |
4. | the maximum work is required to move \(q\) in figure(ii). |
1. | plane parallel to \(yz\) plane |
2. | plane parallel to the \(x\text{-}\)axis |
3. | concentric circle centered at the origin |
4. | coaxial cylinder with axis parallel to the \(y\text-\)axis |
1. | The electric potential at the surface of the cube is zero. |
2. | The electric potential within the cube is zero. |
3. | The electric field is normal to the surface of the cube. |
4. | The electric field varies within the cube. |
Some equipotential surfaces are shown in the figure. The electric field at points \(A\), \(B\) and \(C\) are respectively:
1. | \(1~\text{V/cm}, \frac{1}{2} ~\text{V/cm}, 2~\text{V/cm} \text { (all along +ve X-axis) }\) |
2. | \(1~\text{V/cm}, \frac{1}{2} ~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\) |
3. | \(\frac{1}{2} ~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along +ve X-axis) }\) |
4. | \(\frac{1}{2}~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\) |