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Q. No.A uniformly charged metallic sphere holds a total charge \(Q_0\) and has a potential \(V_0.\) The total potential energy stored is:
1.
\(Q_0V_0\)
2.
\(\dfrac{Q_0V_0}{2}\)
3.
\(\dfrac{Q_0V_0}{4}\)
4.
\(-Q_0V_0\)
Subtopic: Electric Potential Energy |
62%
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Two concentric metallic spheres, surface areas \(A_1,A_2\) and separation \(d\), have a capacitance \(C_0.\) If a parallel plate capacitor is built with the same separation \(d,\) and has the same capacitance \(C_0\) then its plate area will be:
| 1. | \(\dfrac{A_1+A_2}{2}\) | 2. | \(\sqrt{A_1A_2}\) |
| 3. | \(\dfrac{2A_1A_2}{A_1+A_2}\) | 4. | \(\dfrac{A_1^2A_2^2}{A_1+A_2}\) |
Subtopic: Capacitance |
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Identical charges are distributed uniformly on the surfaces of a sphere and a disc of the same radius. The potential at the centre of the sphere is \(V_1,\) and the potential at the centre of the disc is \(V_2.\) The ratio \(\dfrac{V_2}{V_1}\) will be equal to:
| 1. | \(1\) | 2. | \(2\) |
| 3. | \(4\) | 4. | \(\sqrt2\) |
Subtopic: Electric Potential |
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The circuit shown in the diagram given below, is set up with all the capacitors initially uncharged.
The potential difference between \(A\) and \(B\) when \(A\) is connected to \(X\) and \(B\) is connected to \(Y,\) is:
1. \(2.6\) V
2. \(2.4\) V
3. \(6\) V
4. zero
The potential difference between \(A\) and \(B\) when \(A\) is connected to \(X\) and \(B\) is connected to \(Y,\) is:
1. \(2.6\) V
2. \(2.4\) V
3. \(6\) V
4. zero
Subtopic: Capacitance |
From NCERT
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The circuit shown in the diagram given below, is set up with all the capacitors initially uncharged.
The potential difference between \(A\) and \(B,\) after \(A\) is connected to \(Y\) and \(B\) to \(X,\) is:
1. \(2.6\) V
2. \(2.4\) V
3. \(6\) V
4. zero
The potential difference between \(A\) and \(B,\) after \(A\) is connected to \(Y\) and \(B\) to \(X,\) is:
1. \(2.6\) V
2. \(2.4\) V
3. \(6\) V
4. zero
Subtopic: Capacitance |
62%
From NCERT
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A charge is uniformly distributed on the circumference of a disc, and the potential at its centre is \(5\) volt. If the charge was uniformly distributed on the surface of this disc, the potential at a point \(P\) on its axis, at a distance equal to the disc's radius from its centre, equals:
1. \(10\) V
2. \(5 \sqrt 2\) V
3. \(10 \sqrt 2\) V
4. \(10 (\sqrt {2} -1)\) V
1. \(10\) V
2. \(5 \sqrt 2\) V
3. \(10 \sqrt 2\) V
4. \(10 (\sqrt {2} -1)\) V
Subtopic: Electric Potential |
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A negative point charge \((-q)\) is placed at the centre of a spherical ball of charge distributed uniformly over its volume. The radius of the ball is \(R.\) The electric field on its surface is zero. The potential on its surface is:
| 1. | zero | 2. | \(\dfrac{kq }{2R}\) |
| 3. | \(\dfrac{-kq }{ 2R}\) | 4. | \(\dfrac{2kq }{ R}\) |
Subtopic: Electric Potential |
62%
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A capacitance is formed by connecting two metallic balls of radius \(r\) by a conducting wire, and two oppositely charged identical metallic hemispheres \((A,B)\) slightly larger than the balls. The separation between the hemispheres and the respective balls is \(d.\) The capacitance between \(A,B\) is:
| 1. | \(\dfrac{4\pi\varepsilon_0r^2}{d}\) | 2. | \(\dfrac{2\pi\varepsilon_0r^2}{d}\) |
| 3. | \(\dfrac{\pi\varepsilon_0r^2}{d}\) | 4. | \(\dfrac{\pi\varepsilon_0r^2}{2d}\) |
Subtopic: Capacitance |
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Three capacitors are connected in the configuration shown, with \(C_1=C_3=C\) and \(C_2=2C.\) If a charge \(Q\) is passed through the circuit from \(A\) to \(B\) (with the capacitors initially uncharged), the energies stored in the capacitors, \(C_1,C_2,C_3\) are in the ratio:
| 1. | \(1:2:1\) | 2. | \(1:\dfrac12:1\) |
| 3. | \(1:4:1\) | 4. | \(1:\dfrac14:1\) |
Subtopic: Energy stored in Capacitor |
65%
From NCERT
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The potential on the surface of a spherical region varies from \(2\) V to \(4\) V from point to point. There are no charges in the interior of the region.
| Assertion (A): | The potential at the centre cannot be \(0\) V. |
| Reason (R): | Potential in the interior of a sphere must always be greater than the potential on the surface. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Electric Potential |
63%
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