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.

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

A metallic solid sphere is placed in a uniform electric field. The lines of force, as shown in the figure, follow the path(s): 

1. \(1\)

2. \(2\)

3. \(3\)

4. \(4\)

\(X\) and \(Y\) are large, parallel conducting plates close to each other. Each face has an area \(A.\) \(X\) is given a charge \(Q.\) \(Y\) is without any charge. Points \(A,B,\) and \(C\) are as shown in the figure. The incorrect option is:

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

Two identical conductors of copper and aluminium are placed in an identical electric field. The magnitude of induced charge in the aluminium will be:

1. zero.

2. greater than in copper.

3. equal to that in copper.

4. less than in copper.

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

Two-point charges \(+8q\) and \(-2q\) are located at \(x=0\) and \(x=L\) respectively. The location of a point on the \(x\text-\)axis at which the net electric field due to these two point charges is zero is:
1. \(8L\)
2. \(4L\)
3. \(2L\)
4. \(\frac{L}{4}\)