# The electrostatic potential on the surface of a charged conducting sphere is $$100~\text{V}$$. Two statements are made in this regard. 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.

Subtopic: Â Electrostatic Shielding |
Â 59%
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A parallel plate capacitor is connected to a battery as shown in the figure. Consider two situations.

 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. In B: V remains same but C changes.
2. In A: V remains same and hence Q changes.
3. In B: Q remains same and hence V changes.
4. Both (2) and (3).

Subtopic: Â Capacitance |
Â 72%
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If a conductor has a potential V # 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)

Subtopic: Â Electrostatic Shielding |
From NCERT
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In the circuit shown in the figure initially, key K1 is closed and key K2 is open. Then K1 is opened and K2 is closed (order is important).
(Take Q1 and Q2 as charges on C1 and C2 and V1 and Vas voltage respectively.)

Then,

 a. charge on C, gets redistributed such that V1 = V2 b. charge on C, gets redistributed such that Q1 =Q2 c. charge on C, gets redistributed such that C1V1 + C2V2 -C1F d. charge on C, gets redistributed such that Q1 + Q2 -Q

Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (b), (d)
4. (a), (b), (c), (d)

Subtopic: Â Combination of Capacitors |
From NCERT
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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)

Subtopic: Â Equipotential Surfaces |
Â 57%
From NCERT
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Equipotential surfaces:

 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)

Subtopic: Â Equipotential Surfaces |
Â 56%
From NCERT
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Consider a uniform electric field in the $$\mathrm{z}$$-direction. The potential is a constant:

 a. in all space. b. for any $$\mathrm{x}$$ for a given $$\mathrm{z}.$$ c. for any $$\mathrm{y}$$ for a given $$\mathrm{z}.$$ d. on the $$\mathrm{x-y}$$ plane for a given $$\mathrm{z}.$$

Choose the correct option:

 1 (c), (d) 2 (a), (c) 3 (b), (c), (d) 4 (a), (b)
Subtopic: Â Equipotential Surfaces |
Â 85%
From NCERT
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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

Subtopic: Â Equipotential Surfaces |
Â 64%
From NCERT
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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).
Subtopic: Â Equipotential Surfaces |
Â 90%
From NCERT
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A capacitor of 4 uF 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 $$\mu C$$
3. 16$$\mu C$$
4. 8 $$\mu C$$

Subtopic: Â Capacitance |
From NCERT
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