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Q. No.As per the figure, a point charge \(+q\) is placed at the origin \(O\). Work done in taking another point charge \(-Q\) from the point \({A}(0, {a})\) to another point \(B({a},0)\) along the straight path \(AB\) is:
1.
\(\Big(\dfrac{-qQ}{4\pi\varepsilon_0}\dfrac{1}{a}\Big)\sqrt {2}\)
2.
\(\Big(\dfrac{qQ}{4\pi\varepsilon_0}\dfrac{1}{a}\Big)\sqrt{2}\)
3.
\(\Big(\dfrac{qQ}{4\pi\varepsilon_0}\dfrac{1}{a}\Big)\dfrac{1}{\sqrt{2}}\)
4.
zero
Subtopic: Â Electric Potential Energy |
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Level 2: 60%+
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The variation of potential with distance \(R\) from a fixed point is shown in the figure. The electric field at \(R=5~\text{m}\) is:
(Given, the potential, \(V\) in volts and distance, \(R\) in meters)
(Given, the potential, \(V\) in volts and distance, \(R\) in meters)
| 1. | \(2.5~\text{Vm}^{-1}\) | 2. | \(-2.5~\text{Vm}^{-1}\) |
| 3. | \(\dfrac{2}{5}~\text{Vm}^{-1}\) | 4. | \(-\dfrac{2}{5}~\text{Vm}^{-1}\) |
Subtopic: Â Relation between Field & Potential |
Level 3: 35%-60%
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The figure shows charge (\(q\)) versus voltage (\(V\)) graph for series and parallel combination of two given capacitors. The capacitances are:
1. \(50~\mu\text{F}\) and \(30~\mu\text{F}\)
2. \(20~\mu\text{F}\) and \(30~\mu\text{F}\)
3. \(60~\mu\text{F}\) and \(40~\mu\text{F}\)
4. \(40~\mu\text{F}\) and \(10~\mu\text{F}\)
1. \(50~\mu\text{F}\) and \(30~\mu\text{F}\)
2. \(20~\mu\text{F}\) and \(30~\mu\text{F}\)
3. \(60~\mu\text{F}\) and \(40~\mu\text{F}\)
4. \(40~\mu\text{F}\) and \(10~\mu\text{F}\)
Subtopic: Â Capacitance |
 51%
Level 3: 35%-60%
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| Assertion (A): | Absolute potential at any point is meaningful only when some reference level for the potential is defined. |
| Reason (R): | The capacitance of any parallel plate capacitor depends on the charge on the capacitor and the voltage applied across the plates. |
In the light of the above statements choose the correct answer from the options given below:
| 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 Capacitance |
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Level 2: 60%+
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The electric field (\(E\)) and potential (\(V\)) due to the field are related as \(E=-\dfrac{dV}{dr}\). For the \(V\) vs \(r\) graph shown, identify the correct \(E\) vs \(r\) graph:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Relation between Field & Potential |
Level 3: 35%-60%
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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: Â Electric Potential |
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Level 2: 60%+
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Consider a spherical conductor of radius \(r\), centred at the point \(O\). A point charge \(q(q>0)\) is placed outside the sphere, at a distance '\(d\)' from its centre \((O)\) \((d>r)\) and the sphere is earthed.
Given below are two statements:
Given below are two statements:
| Assertion (A): | The electric flux due to the external charge \(q\) and the induced charges on the sphere through the spherical surface \(S\) shown dotted in the diagram, is \(\left(-\dfrac{q}{\varepsilon_0}\right)\). |
| Reason (R): | Negative charges are induced on the surface of the conducting sphere due to the positive charge \(q\) in the vicinity, and the potential of the conducting sphere is zero. |
| 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. | (A) is False but (R) is True. |
Subtopic: Â Capacitance |
 51%
Level 3: 35%-60%
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A parallel plate capacitor \((C)\) is charged by connecting it to a battery (EMF \(E\)). A dielectric slab is inserted into the space between the plates.
Choose the correct answer from the options given below:
| (I) | The charge on the plates increases. |
| (II) | The energy stored in the capacitor increases. |
| (III) | Work is done by the battery as the slab is inserted. |
Choose the correct answer from the options given below:
| 1. | (I), and (II) are True. |
| 2. | (I) and (III) are True. |
| 3. | only (I) is True. |
| 4. | (I), (II), and (III) are True. |
Subtopic: Â Capacitance |
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Level 2: 60%+
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A dielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following remains unchanged?
Choose the correct option from given ones:
| (I) | The charge on the plates. |
| (II) | The potential difference between the plates. |
| (III) | The energy stored in the capacitor. |
Choose the correct option from given ones:
| 1. | (I) only | 2. | (I) and (II) |
| 3. | (I) and (III) | 4. | (I), (II) and (III) |
Subtopic: Â Dielectrics in Capacitors |
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Level 2: 60%+
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Given below are two statements:
| Assertion (A): | Radio transmitters do not work satisfactorily when used inside a railway carriage. |
| Reason (R): | Railway carriage is made of iron which acts as Faraday cages. |
| 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 Electrostatic Shielding |
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Level 1: 80%+
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