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//2`
B. `16 d`
C. `-16 d`
D. no point on the `x` axis

Answer

D

Explanation

The net electric field due to the particles is zero at `x = d//4`, it means both charges are either positive or bothe are negative. So potential can be zero nowhere except infinity.