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Q. No.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%
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%
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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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 |
From NCERT
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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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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 |
From NCERT
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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%
From NCERT
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. \(0.01~\mu\text{F}\)
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%
From NCERT
NEET - 2022
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Given below are two statements:
| Assertion (A): | In the absence of an externally applied electric field, the displacement per unit volume of a polar dielectric material is always zero. |
| Reason (R): | In polar dielectrics, each molecule has a permanent dipole moment, but these dipoles are randomly oriented when there is no external electric field. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Â Dielectrics in Capacitors |
 81%
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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%
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