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Q. No.A capacitor of \(4~\mu\text{F}\) is connected as shown in the circuit. The internal resistance of the battery is \(0.5Q\). The amount of charge on the capacitor plates will be:
1. \(0\)
2. \(4~\mu\text{C}\)
3. \(16~\mu\text{C}\)
4. \(8~\mu\text{C}\)
| Statement I: | At any point inside the sphere, electric intensity is zero. |
| Statement II: | At any point inside the sphere, the electrostatic potential is \(100~\text{V}\). |
Which of the following is a correct statement?
| 1. | Statement I is True but Statement II is False. |
| 2. | Both Statement I and Statement II are False. |
| 3. | Statement I is True, Statement II is also True and Statement I is the cause of Statement II. |
| 4. | Statement I is True, Statement II is also True but the statements are independent. |
The figure shows some equipotential lines distributed in space. A charged object is moved from point \(A\) to point \(B\).
Choose the correct option:
| 1. | The work done in Fig. (i) is the greatest. |
| 2. | The work done in Fig. (ii) is the least. |
| 3. | The work done is the same in Fig. (i), Fig. (ii) and Fig. (iii). |
| 4. | The work done in Fig. (iii) is greater than Fig. (ii) but equal to that in Fig. (i). |
Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately:
1. spheres
2. planes
3. paraboloids
4. ellipsoids
Consider a uniform electric field in the \(z\text-\)direction. The potential is a constant:
| (a) | in all space. |
| (b) | for any \(x\) for a given \(z.\) |
| (c) | for any \(y\) for a given \(z.\) |
| (d) | on the \(x\text-y\) plane for a given \(z.\) |
Choose the correct option:
| 1. | (c), (d) | 2. | (a), (c) |
| 3. | (b), (c), (d) | 4. | (a), (b) |
| (a) | are closer in regions of large electric fields compared to regions of lower electric fields. |
| (b) | will be more crowded near sharp edges of a conductor. |
| (c) | will be more crowded near regions of large charge densities. |
| (d) | will always be equally spaced. |
Choose the correct option:
| 1. | (a), (b) | 2. | (c), (d) |
| 3. | (a), (b), (c) | 4. | (a), (b), (c), (d) |
In a region of constant potential:
| (a) | the electric field is uniform. |
| (b) | the electric field is zero. |
| (c) | there can be no charge inside the region. |
| (d) | the electric field shall necessarily change if a charge is placed outside the region. |
Choose the correct option:
| 1. | (b), (c) | 2. | (a), (c) |
| 3. | (b), (d) | 4. | (c), (d) |
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. |
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Q. No.
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