A point charge is brought in an electric field. The electric field at a nearby point,

(a) will increase if the charge is positive
(b) will decrease if the charge is negative
(c) may increase if the charge is positive
(d) may decrease if the charge is negative
Choose the correct option:
1. (a) only  2. (b), (c) 
3. (c), (d)  4. (a), (d) 

Subtopic:  Electric Field |
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Level 2: 60%+
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An electric dipole is placed in an electric field generated by a point charge.

(a) The net electric force on the dipole must be zero.
(b) The net electric force on the dipole may be zero.
(c) The torque on the dipole due to the field must be zero.
(d) The torque on the dipole due to the field may be zero.

Choose the correct option:
1. (a) only  2. (b), (c) 
3. (c), (d) 4. (d) only
Subtopic:  Electric Dipole |
Level 3: 35%-60%
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A proton and an electron are placed in a uniform electric field.

(a) The electric forces acting on them will be equal.
(b) The magnitudes of the forces will be equal.
(c) Their accelerations will be equal.
(d) The magnitudes of their accelerations will be equal.
 

Choose the correct option.

1. (a), (b)
2. (b) only
3. (c), (d) 
4. (a), (d) 


 

Subtopic:  Electric Field |
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A charge Q is uniformly distributed over a large plastic plate. The electric field at a point P close to the centre of the plate is 10 V/m–1. If the plastic plate is replaced by a copper plate of the same geometrical dimensions and carrying the same charge Q, the electric field at the point P will become

1.   zero

2.   5 V m–1 

3.   10 V m–1

4  20 V m–1

Subtopic:  Electric Field |
 54%
Level 3: 35%-60%
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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 |
 55%
Level 3: 35%-60%
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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 |
 71%
Level 2: 60%+
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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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Level 3: 35%-60%
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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. \(\dfrac{q}{\varepsilon_0}\)
3. \(\dfrac{q}{2\varepsilon_0}\) 4. \(\dfrac{2q}{\varepsilon_0}\)
Subtopic:  Gauss's Law |
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Level 2: 60%+
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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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Level 3: 35%-60%
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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 from the given ones:

1. (a) and (b) only
2. (b) and (c) only
3. (d) only
4. (a) and (d) only
Subtopic:  Electric Charge |
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Level 2: 60%+
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