A conducting ball is positively charged and another positive point charge is brought closer to the ball.

In the arrangement shown in figure, the two points charges are in equilibrium. The infinite wire is fixed in the horizontal plane and the two point charges are placed one above and the other below the wire.

Considering the gravitational effect of the earth, the nature of $q_1$ and $q_2$ can be

In arrangement shown in figure, two positive charges, $+Q$ each are fixed. Mark the correct statement (s) regarding a third charged particle $q$ placed at the midpoint $P$ that can be displaced along or perpendicular to the line connecting the charges.

We have two electric dipoles. Each dipole consists of two equal and opposite point charges at the ends of an insulating rod of length $d.$ The dipoles sit along the $x$-axis a distance $r$ apart, oriented as shown in the figure.
Their separation $r\gg d.$ The dipole on the left:

In a uniformly charged dielectric sphere, a very thin tunnel has been made along the diameter as shown in figure. A charge particle $-q$ having mass $m$ is released from rest at one end of the tunnel. For the situation described, mark the correct statement(s). (Neglect gravity.)