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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 Electric Potential Energy |
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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%
From NCERT
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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%
From NCERT
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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%
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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 |
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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%
From NCERT
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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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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%
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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%
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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 |
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