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# A metallic particle having no net charge is placed near a finite metal plate carrying a positive charge. The electric force on the particle will be 1.  towards the plate 2.  away from the plate 3.  parallel to the plate 4.  zero.

Subtopic:  Electric Charge |
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Electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius $$10~\mathrm{cm}$$ surrounding the total charge is $$25$$ V-m. The flux over a concentric sphere of radius $$20$$ cm will be:
1. $$25$$ V-m
2. $$50$$ V-m
3. $$100$$ V-m
4. $$200$$ V-m

Subtopic:  Gauss's Law |
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The figure(a) shows an imaginary cube of edge $$L/2$$. A uniformly charged rod of length $$L$$ moves towards left at a small but constant speed $$u$$. At $$t=0$$, the left end just touches the centre of the face of the cube opposite it. Which of the graphs shown in figure(b) represents the flux of the electric field through the cube as the rod goes through it?

1. a
2. b
3. c
4. d

Subtopic:  Gauss's Law |
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A charge $$q$$ is placed at the centre of the open end of a cylindrical vessel (shown in the figure). The flux of the electric field through the surface of the vessel is:

1. zero
2. $$q/\varepsilon_0~$$
3. $$q/2\varepsilon_0~$$
4. $$2q/\varepsilon_0~$$

Subtopic:  Gauss's Law |
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Given below are four statements:

 (a) Gauss’s law is valid only for symmetrical charge distributions. (b) Gauss’s law is valid only for charges placed in vacuum. (c) The electric field calculated by Gauss’s law is the field due to the charges inside the Gaussian surface. (d) The flux of the electric field through a closed surface due to all the charges is equal to the flux due to the charges enclosed by the surface.

Choose the correct option:

 1 (a), (b) 2 (b), (c) 3 (d) only 4 (a), (d)
Subtopic:  Gauss's Law |
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A positive point charge Q is brought near an isolated metal cube.

(a) The cube becomes negatively charged.

(b) The cube becomes positively charged.

(c) The interior becomes positively charged and the surface becomes negatively charged.

(d) The interior remains charge free and the surface gets nonuniform charge distribution.

Choose the correct option

1. (a) , (b)

2. (b) , (c)

3. (d) only

4. (a) , (d)

Subtopic:  Electric Charge |
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A large nonconducting sheet M is given a uniform charge density. Two uncharged small metal rods A and B are placed near the sheet as shown in the figure.

(a) M attracts A
(b) M attracts B
(c) A attracts B
(d) B attracts A

Choose the correct option

1. (a) , (b)

2. (c) , (d)

3. (a) , (d)

4. All of the above

Subtopic:  Electric Charge |
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If the flux of the electric field through a closed surface is zero,

(a) the electric field must be zero everywhere on the surface

(b) the electric field may be zero everywhere on the surface

(c) the charge inside the surface must be zero

(d) the charge in the vicinity of the surface must be zero.

Choose the correct option

1. (a) , (b)

2. (b) , (c)

3. (d) only

4. (a) , (d)

Subtopic:  Gauss's Law |
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An electric dipole is placed at the centre of a sphere. Mark the correct options:

(a) The flux of the electric field through the sphere is zero.

(b) The electric field is zero at every point of the sphere.

(c) The electric field is not zero anywhere on the sphere.

(d) The electric field is zero on a circle on the sphere.

Choose the correct option

1. (a) , (c)

2. (b) , (c)

3. (d) only

4. (a) , (d)

Subtopic:  Gauss's Law |
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The figure shows a charge q placed at the centre of a hemisphere. A second charge Q is placed at one of the positions A, B, C and D. In which position(s) of this second charge, the flux of the electric field through the hemisphere remains unchanged?

(a) A
(b) B
(c) C
(d) D

Choose the correct option

1. (a), (c)

2. (b), (c)

3. (d) only

4. (a), (d)

Subtopic:  Gauss's Law |
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