Electric Potential

Three concentric spherical shells have radii and have surface charge densities respectively. If denote the potential of the three shells, and , it can be concluded that:

1.
2.
3.
4.

Four electric charges and are placed at the corners of a square of side (see figure). The electric potential at the point , mid-way between the two charges and is:

1.
2.
3. zero
4.

Four-point charges are placed, one at each corner of the square. The relation between and for which the potential at the center of the square is zero is:
1.
2.
3.
4.

The variation of electrostatic potential with radial distance from the centre of a positively charged metallic thin shell of radius is given by the graph:

1.		2.
3.		4.

Two charged spherical conductors of radii and are connected by a wire. The ratio of surface charge densities of spheres is:

1.		2.
3.		4.

Twenty seven drops of same size are charged at each. They combine to form a bigger drop. Calculate the potential of the bigger drop:
1.
2.
3.
4.

Two hollow conducting spheres of radii and are concentric and have equal charges. The potential would be:

1.	dependent on the material property of the sphere
2.	more on the bigger sphere
3.	more on the smaller sphere
4.	equal on both the spheres

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A):	The potential at any axial point, at distance ( ) from the centre of the dipole of dipole moment vector of magnitude, is (Take SI units)
Reason (R):	where is the distance of any axial point situated at from the centre of the dipole.

In the light of the above statements, choose the correct answer from the options given below:

1.	Both (A) and (R) are True and (R) is not the correct explanation of (A).
2.	(A) is True but (R) is False.
3.	(A) is False but (R) is True.
4.	Both (A) and (R) are True and (R) is the correct explanation of (A).

A thin spherical shell is charged by some source. The potential difference between the two points and (in V) shown in the figure is: 
( Take SI units)

1.		2.
3.		4.