The charge on \(500~\text{cc}\) of water due to protons will be: 

1. \(6.0\times 10^{27}~\text{C}\) 2. \(2.67\times 10^{7}~\text{C}\)
3. \(6\times 10^{23}~\text{C}\) 4. \(1.67\times 10^{23}~\text{C}\)

Subtopic:  Electric Charge |
 58%
From NCERT
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Two-point charges, \(+q\) and \(-q\) are held fixed at \((-d,0)\) and \((d,0)\) respectively of an \((x,y)\) coordinate system. Then: 
1. \(E\) at all points on the \(y\text-\)axis is along \(\hat i.\)
2. The electric field \(\vec E\) at all points on the \(x\text-\)axis has the same direction.
3. Dipole moment is \(2qd\) directed along \(\hat i.\)
4. Work has to be done in bringing a test charge from infinity to the origin.
Subtopic:  Electric Dipole |
From NCERT
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Three charges are placed at the vertices of an equilateral triangle of side \(a\) as shown in the following figure. The force experienced by the charge placed at the vertex \(A\) in a direction normal to \(BC\) is: 

             

1. Q2/(4πε0a2)

2. Q2/(4πε0a2)

3. zero

4. Q2/(2πε0a2)

Subtopic:  Coulomb's Law |
 64%
From NCERT
AIIMS - 2003
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The net dipole moment of the system is of the magnitude:
          

1. \(q\times 2a\)

2. \(2q \times 2a\)

3. \(q\times a\)

4. \(2\times (2q\times 2a)\)

Subtopic:  Electric Dipole |
 73%
From NCERT
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Two charges \(2~\mu\text{C}\) and \(8~\mu\text{C}\) are separated by \(6\) cm. The neutral point is at:
1. \(4\) cm from \(2~\mu\text{C}\).
2. \(2\) cm from \(2~\mu\text{C}\).
3. \(2\) cm from \(8~\mu\text{C}\).
4. \(3\) cm from \(8~\mu\text{C}\).
Subtopic:  Coulomb's Law |
 78%
From NCERT
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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%
From NCERT
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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 \(\vec E_1,\vec E_2,\vec E_3,\) then which of the following is incorrect? \(\left ( d\gg l \right )\)

        
1. \(\vec E_1=-\vec E_3\)
2. \(\vec E_1=-2\vec E_2\)
3. \(\vec E_1=\vec E_3\)
4. \(\vec E_3=-2\vec E_2\)

Subtopic:  Electric Dipole |
 50%
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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%
From NCERT
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The figure shows the electric lines of force emerging from a charged body. If the electric field at \(A\) and \(B\) are \(E_A\) and \(E_B\) respectively and if the displacement between \(A\) and \(B\) is \(r,\) then:

              

1. \(E_A>E_B\)

2. \(E_A<E_B\)

3. EA=EBr

4. EA=EBr2

Subtopic:  Electric Field |
 89%
From NCERT
PMT - 1986
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Which of the following graphs shows the variation of electric field \(E\) due to a hollow spherical conductor of radius \(R\) as a function of distance from the centre of the sphere?

1. 2.
3. 4.
Subtopic:  Gauss's Law |
 85%
From NCERT
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