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Q. No.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 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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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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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. | \(5\) V/m | 2. | \(-10\) V/m |
| 3. | \(-5\) V/m | 4. | \(10\) V/m |
Subtopic: Â Relation between Field & Potential |
 75%
Level 2: 60%+
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If an electric dipole of moment \(p\) is placed normally to the lines of forces of electric intensity \(E,\) then the work done in deflecting it through an angle of \(180^\circ\) will be:
1. \(pE\)
2. \(pE/2\)
3. \(2pE\)
4. zero
1. \(pE\)
2. \(pE/2\)
3. \(2pE\)
4. zero
Subtopic: Â Energy of Dipole in an External Field |
Level 3: 35%-60%
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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
Subtopic: Â Electrostatic Shielding |
 66%
Level 2: 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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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. | \(\mathrm{(2), (3), (1)}\) |
Subtopic: Â Combination of Capacitors |
 80%
Level 1: 80%+
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Two capacitors, each having a capacitance of \(40~\mu\text F\) are connected in series. The space between one of the capacitors is filled with a dielectric material of dielectric constant \(K,\) such that the equivalent capacitance of the system becomes \(24~\mu\text F.\) The value of \(K\) will be:
1. \(1.5\)
2. \(2.5\)
3. \(1.2\)
4. \(3\)
1. \(1.5\)
2. \(2.5\)
3. \(1.2\)
4. \(3\)
Subtopic: Â Dielectrics in Capacitors |
 63%
Level 2: 60%+
JEE
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Energy per unit volume for a capacitor having area \(A\) and separation \(d\) kept at the potential difference \(V\) is given by:
| 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. | \(\dfrac{Q^{2}}{2 C}\) |
Subtopic: Â Energy stored in Capacitor |
 77%
Level 2: 60%+
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