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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 |
 66%
Level 2: 60%+
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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 |
 58%
Level 3: 35%-60%
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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 Relation between Field & Potential |
Level 3: 35%-60%
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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%
Level 3: 35%-60%
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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%
Level 3: 35%-60%
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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. \(11\)
1. \(2\)
2. \(3\)
3. \(8\)
4. \(11\)
Subtopic: Â Equipotential Surfaces |
 77%
Level 2: 60%+
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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 |
Level 3: 35%-60%
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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%
Level 3: 35%-60%
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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%
Level 1: 80%+
NEET - 2022
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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. | \(0.01~\mu\text{F}\) |
Subtopic: Â Combination of Capacitors |
 85%
Level 1: 80%+
NEET - 2022
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