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Q. No.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. towards left
2. towards right
3. upward
4. zero
Subtopic: Â Electrostatic Shielding |
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A dipole (\(p\)) is placed so that it is always aligned along the x-axis but it can undergo displacement along the x-axis. The dipole is placed exactly midway between two fixed charges \(-Q\) and \(Q,\) in two possible ways.
Then, the dipole is:
Then, the dipole is:
| 1. | stable in both \(A,B\) |
| 2. | stable in \(A\), unstable in \(B\) |
| 3. | unstable in \(A\), stable in \(B\) |
| 4. | unstable in both \(A,B\) |
Subtopic: Â Energy of Dipole in an External Field |
 57%
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Suppose there is a uniform electron field \(\vec E=(50~\text{V/m})~\hat{j}\). If a negatively charged particle moves in the \(-y\text-\)direction, then its electric potential energy:
| 1. | increases |
| 2. | decreases |
| 3. | remains constant |
| 4. | first increases then decreases |
Subtopic: Â Electric Potential Energy |
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A parallel plate capacitor is given equal and opposite charges. The electrostatic force per unit area between the plates:
| 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. |
Subtopic: Â Capacitance |
 59%
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A conducting spherical shell with a radius of \(20~\text{cm}\) carries a charge of \(+5~\mu\text{C}.\) Another spherical shell, with a radius of \(10~\text{cm}\) and a charge of \(-6~\mu\text{C},\) is placed far away (large separation) from the first shell. The potential difference between the two shells is:
| 1. | \(7.65\times10^{5}\) V | 2. | \(3.15\times10^{5}\) V |
| 3. | \(5.4\times10^{5}\) V | 4. | \(2.25\times10^{5}\) V |
Subtopic: Â Electric Potential |
 57%
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A uniform electric field of intensity is shown in the figure. How many of the labelled points have the same electric potential as the fully shaded point?
| 1. | \(2\) | 2. | \(3\) |
| 3. | \(8\) | 4. | \(11\) |
Subtopic: Â Equipotential Surfaces |
 77%
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Two point charges \(+ 5 ~\mu \text{C} ~\text{and}-2~\mu \text{C}\) are kept at a distance of \(1~\text{m}\) in free space. The distance between the two zero potential points on the line joining the charges is:
| 1. | \({\dfrac 2 7} ~\text{m}\) | 2. | \({\dfrac 2 3}~\text{m}\) |
| 3. | \({\dfrac {22} {21}} ~\text{m}\) | 4. | \({\dfrac {20} {21}} ~\text{m}\) |
Subtopic: Â Electric Potential |
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A thin semi-circular ring of radius \(r\) has a positive charge \(q\) distributed uniformly over it. The net potential at the centre \(O\) is:
| 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. | \(0\) |
Subtopic: Â Electric Potential |
 55%
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The angle between the electric lines of force and the equipotential surface is:
1. \(180^\circ\)
2. \(0^\circ\)
3. \(45^\circ\)
4. \(90^\circ\)
1. \(180^\circ\)
2. \(0^\circ\)
3. \(45^\circ\)
4. \(90^\circ\)
Subtopic: Â Equipotential Surfaces |
 83%
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Three capacitors, each of capacitance \(0.3~\mu \text{F}\) are connected in parallel. This combination is connected with another capacitor of capacitance \(0.1~\mu \text{F}\) in series. Then the equivalent capacitance of the combination is:
1. \(0.9~\mu\text{F}\)
2. \(0.09~\mu\text{F}\)
3. \(0.1~\mu\text{F}\)
4. \(0.01~\mu\text{F}\)
1. \(0.9~\mu\text{F}\)
2. \(0.09~\mu\text{F}\)
3. \(0.1~\mu\text{F}\)
4. \(0.01~\mu\text{F}\)
Subtopic: Â Combination of Capacitors |
 85%
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