# The electric potential decreases uniformly from 120 V to 80 V as one moves on the x-axis from x = –1 cm to x = +1 cm. The electric field at the origin (a) must be equal to 20 V cm–1 (b) may be equal to 20 V cm–1 (c) may be greater than 20 V cm–1 (d) may be less than 20 V cm–1 Choose the coorect option  1. (a) only  2. (b) , (c)  3. (c) , (d)  4. (a) , (d)

Subtopic:  Relation between Field & Potential |
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Which of the following quantities do not depend on the choice of zero potential or zero potential energy?

(a) potential at a point
(b) potential difference between two points
(c) potential energy of a two-charge system
(d) change in potential energy of a two-charge system.
Choose the correct option:
1. (a) only
2. (b), (c)
3. (b), (d)
4. (a), (d)

Subtopic:  Electric Potential Energy |
55%
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The electric field in a region is directed outward and is proportional to the distance r from the origin. Taking the electric potential at the origin to be zero,

(a) it is uniform in the region

(b) it is proportional to r

(c) it is proportional to r2

(d) it increases as one goes away from the origin.

Choose the coorect option

1. (a) only

2. (b) , (c)

3. (c) only

4. (a) , (d)

Subtopic:  Relation between Field & Potential |
53%
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A thin, metallic spherical shell contains a charge $$\mathrm{Q}$$ on it. A point charge $$\mathrm{q}$$ is placed at the centre of the shell and another charge $$\mathrm{q}_1$$ is placed outside as it is shown in the figure. All the three charges are positive. The force on the charge at the centre is:

1. towards left
2. towards right
3. upward
4. zero

Subtopic:  Electrostatic Shielding |
65%
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Consider the situation of the previous problem. The force on the central charge due to the shell is

1. towards left

2. towards right

3. upward

4. zero.

Previous problem: A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in figure. All the three charges are positive.

Subtopic:  Electrostatic Shielding |
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A capacitor of capacitance $$C$$ is charged to a potential $$V.$$ The flux of the electric field through a closed surface enclosing the capacitor is:
1. $$CV \over \varepsilon_0$$
2. $$2 CV \over \varepsilon_0$$
3. $$CV \over2 \varepsilon_0$$
4. zero

Subtopic:  Capacitance |
62%
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Two capacitors each having capacitance $$C$$ and breakdown voltage $$V$$ are joined in series. The capacitance and the breakdown voltage of the combination will be:
1. $$2C$$ and $$2V$$
2. $$C/2$$ and $$V/2$$
3. $$2C$$ and $$V/2$$
4. $$C/2$$ and $$2V$$

Subtopic:  Combination of Capacitors |
78%
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Two capacitors each having capacitance $$C$$ and breakdown voltage $$V$$ are joined in parallel. The capacitance and the breakdown voltage of the combination will be:
1. $$2C$$ and $$2V$$
2. $$C$$ and $$2V$$
3. $$2C$$ and $$V$$
4. $$C$$ and $$V$$
Subtopic:  Combination of Capacitors |
87%
From NCERT
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The equivalent capacitance of the combination shown in the figure is:

1. $$C$$
2. $$2C$$
3. $$\frac{C}{2}$$
4. none of these

Subtopic:  Combination of Capacitors |
81%
From NCERT
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A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will:
1. increase
2. decrease
3. remain unchanged
4. become zero

Subtopic:  Dielectrics in Capacitors |
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