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Q. No.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 |
 88%
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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 |
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As per the figure a point charge \(+q\) is placed at the origin \(\mathrm{O}\). Work done in taking another point charge \(-Q\) from the point \(\mathrm{A}(0, \mathrm{a})\) to another point \(\mathrm{B}(\mathrm{a},0)\) along the straight path \(\mathrm{AB}\) 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
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 |
 79%
From NCERT
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Equipotential surfaces:
1. are closer in regions of large electric fields compared to regions of lower electric fields.
2. will be more crowded near the sharp edges of a conductor.
3. will always be equally spaced.
4. both (1) and (2) are correct.
Subtopic: Â Equipotential Surfaces |
 70%
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: Â Electric Potential |
 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 center (O) (d > r) and the sphere is earthed.
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:
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
| 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 (-q/\(\varepsilon_0\)). |
| 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. |
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. | (A) is false but (R) is true. |
Subtopic: Â Capacitance |
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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 option:
| (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. |
| 1. | I, II are true | 2. | I and III are true |
| 3. | only I is true | 4. | I, II, and III are true |
Subtopic: Â Capacitance |
 63%
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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.
| (I) | The charge on the plates |
| (II) | The potential difference between the plates |
| (III) | The energy stored in the capacitor |
| 1. | (I) only | 2. | (I), (II) |
| 3. | (I), (III) | 4. | (I), (II), (III) |
Subtopic: Â Dielectrics in Capacitors |
 72%
From NCERT
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A thin conducting spherical shell of radius \(R\) has a charge \(Q\) which is uniformly distributed on its surface. The correct plot for electrostatic potential due to this spherical shell is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Electric Potential |
 67%
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Given below are two statements:
Assertion (A): An isolated system consists of two particles of equal masses \(m=10\) gm and charges \(q_1=1~\mu \)C and \(q_2=-1~\mu \)C as shown in the figure. The initial separation of both charges is \(l=1\) m. Both the charges are given initial velocities \(v_1=1\) ms-1 and \(v_2=2\) ms-1 towards the right. The maximum separation between the charges is infinite.
Reason (R): The total energy (Kinetic energy + electrostatic potential energy) of the given two-particle system is positive and the initial velocity of separation is positive.
| 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 Electric Potential Energy |
 58%
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