Two particles of charge `q_(1)` and `q_(2)` are separated by distance `d` as shown in figure. Chrage `q_(1)` is situarted at the origin. The net electirc field due to the particles is zero at `x = d//4`. With `V = 0` at infinity, the location of a point in terms of `d` on the `x` axis (other at infinfity) at which the elctrical potential due to the two particles is zero, is given by:

Options

A. d/4
B. 16d
C. `-16 d`
D. no point on the axis

Answer

D

Explanation

`vec(E)` is zero in between the two charges. So both charges must have the same sign.
Therefore, electric potential cannot be zero anywhere on the axis.