Q. No.A positive charge \(q\) and a negative charge \(-q\) are placed at \(x=-a\) and \(x=+a\) respectively. The variation of \(V\) along \(x\text-\)axis is represented by the graph:
1.
2.
3.
4.
Which of the following statements is correct regarding the electrostatics of conductors?
| 1. | The interior of the conductor with no cavity can have no excess charge in the static situation. |
| 2. | The electrostatic potential is constant throughout the volume of the conductor. |
| 3. | The electrostatic potential has the same value inside as that on its surface. |
| 4. | All of these. |
If \(E\) and \(V\) are electric field and electric potential respectively due to a point charge, then which of the following graph best represents their variation?
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2. |  |
| 3. |  |
4. |  |
| 1. |  |
2. |  |
| 3. |  |
4. |  |
In the circuit shown in the figure initially, key \(K_1\) is closed and key \(K_2\) is open. Then \(K_1\) is opened and \(K_2\) is closed (order is important).
(Take \(Q_1\) and \(Q_2\) as charges on \(C_1\) and \(C_2\) and \(V_1\) and \(V_2\) as voltage respectively.)
| (a) | charge on \(C_1\) gets redistributed such that \(V_1 =V_2\) |
| (b) | charge on \(C_1\) gets redistributed such that \(Q'_1= Q'_2\) |
| (c) | charge on \(C_1\) gets redistributed such that \(C_1V_1+C_2V_2= C_1E\) |
| (d) | charge on \(C_1\) gets redistributed such that \(Q'_1+Q'_2=Q\) |
Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (b), (d)
4. (a), (b), (c), (d)
If a conductor has a potential \(V\neq 0\) and there are no charges anywhere else outside, then:
| (a) | there must be charges on the surface or inside itself |
| (b) | there cannot be any charge in the body of the conductor |
| (c) | there must be charges only on the surface |
| (d) | there must be charges inside the surface |
Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (a), (b)
4. (a), (b), (c), (d)
| A: | Key \(K\) is kept closed and plates of capacitors are moved apart using insulating handle. |
| B: | Key \(K\) is opened and plates of capacitors are moved apart using the insulating handle. |
Choose the correct option(s).
| 1. | In A: \(Q\) remains same but \(C\) changes. |
| 2. | In B: \(V\) remains same but \(C\) changes. |
| 3. | In A: \(V\) remains same and hence \(Q\) changes. |
| 4. | In B: \(Q\) remains same and hence \(V\) changes. |
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. |
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.
| (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) |
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