Two charges 2 μC and 8 μC are separated by 6 cm. The neutral point is at:

1. 4 cm from 2  μC.
2. 2 cm from 2  μC .
3. 2 cm from 8  μC .
4. 3 cm from 8  μC .

Subtopic:  Coulomb's Law |
 78%
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The ratio of the electric flux linked with shell \(A\) and shell \(B\) in the diagram shown below is:

               

1. \(1: 1\)       2. \(1: 2\)      
3. \(1: 4\)       4. \(4: 2\)      
Subtopic:  Gauss's Law |
 88%
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An electric dipole is kept at the origin as shown in the diagram. The point A, B, C are on a circular arc with the centre of curvature at the origin. If the electric fields at A, B and C respectively are E1, E2, E3 , then which of the following is incorrect? \(\left ( d\gg l \right )\)

                
1.  E1 = -E3
2.  E1 = -2E2
3.  E1 = E3
4.  E3 = -2E2

Subtopic:  Electric Dipole |
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A large non-conducting sheet S is given a uniform charge density. Two uncharged small, metal rods A and B are placed near the sheet as shown in the following diagram. Choose the incorrect option:

           

1.  S attracts A.

2.  S attracts B.

3.  A attracts B.

4.  S repels A.

Subtopic:  Coulomb's Law |
 57%
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An electric dipole is placed at the centre of a sphere. Which of the following statements is correct?

1. The electric flux through the sphere is zero.
2. The electric field is zero at every point on the sphere.
3. The electric field is zero at every point inside the sphere.
4. The electric field is uniform inside the sphere.
Subtopic:  Electric Dipole |
 69%
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The electric flux from a cube of edge l is ϕ. What will be its value if the edge of the cube is made 2and the charge enclosed is halved?

1.  12ϕ

2.  2ϕ

3.  4ϕ

4.  ϕ

Subtopic:  Gauss's Law |
 68%
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A charged particle q of mass m is released on the y-axis at y = a in an electric field E=-4yj^. The speed of particle on reaching the origin will be:

1.  2amq

2.  amq

3.  2aqm

4.  2amq

Subtopic:  Electric Field |
 73%
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A point charge q is placed at the center of the open face of a hemispherical surface as shown in the figure. The flux linked with the surface is:

       

1.  zero

2.  q2ε0

3.  qε0

4.  qπr2

Subtopic:  Gauss's Law |
 72%
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Four charges are arranged at the corners of a square ABCD as shown in the figure. The force on a positive charge kept at the center of the square is:

         

1. Zero
2. Along diagonal AC
3. Along diagonal BD
4. Perpendicular to the side AB

Subtopic:  Coulomb's Law |
 67%
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A point charge is placed at the center of the spherical Gaussian surface. The electric flux through the surface is changed if the:

1. sphere is replaced by a cube of the same volume.
2. sphere is replaced by a cube of half volume.
3. charge is moved off-centre in the original sphere.
4. charge is moved just outside the original sphere.

Subtopic:  Gauss's Law |
 79%
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