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.	\(1.67\times 10^{23}~\text{C}\)

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. \(Q^{2} / \left(\right. 4 \pi \epsilon_{0} a^{2} \left.\right)\)

2. \(- Q^{2} / \left(\right. 4 \pi \epsilon_{0} a^{2} \left.\right)\)

3. zero

4. \(Q^{2} / \left(\right. 2 \pi \epsilon_{0} a^{2} \left.\right)\)

The net dipole moment of the system is of the magnitude:
          

1. \(q\times 2a\)

2. \(2q \times 2a\)

3. \(q\times a\)

4. \(2\times (2q\times 2a)\)

The ratio of the electric flux linked with shell \(A\) and shell \(B\) in the diagram shown below is:

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. \(\vec E_3=-2\vec E_2\)

An electric dipole is placed at the centre of a sphere. Which of the following statements is correct?

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. \(E_{A} = \frac{E_{B}}{r}\)
 4. \(E_{A} = \frac{E_{B}}{r^{2}}\)$\frac{{\mathrm{}}^{}}{}$

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.