Q. No.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. | \(Q \over 2\varepsilon_0r\) |
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| 1. | can not be defined as \(-\int_{A}^{B} { \vec E\cdot \vec{dl}}\) |
| 2. | must be defined as \(-\int_{A}^{B} {\vec E\cdot \vec{dl}}\) |
| 3. | is zero |
| 4. | can have a non-zero value. |
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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). |
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1. zero
2. \(180^{\circ}\)
3. \(90^{\circ}\)
4. \(45^{\circ}\)
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| 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. |
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| a. | in all space |
| b. | for any \(x\) for a given \(z\) |
| c. | for any \(y\) for a given \(z\) |
| d. | on the \(x\text-y\) plane for a given \(z\) |
| 1. | (a), (b), (c) | 2. | (a), (c), (d) |
| 3. | (b), (c), (d) | 4. | (c), (d) |
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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. | \(\frac{1}{2}~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\) |
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| 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 |
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| a. | are closer in regions of large electric fields compared to regions of lower electric fields. |
| b. | will be more crowded near the sharp edges of a conductor. |
| c. | will be more crowded near regions of large charge densities. |
| d. | will always be equally spaced. |
| 1. | (a), (b) and (c) | 2. | (a), (c) and (d) |
| 3. | (b), (c) and (d) | 4. | (c) and (d) |
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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 |
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