`ABCDEF` is a regular hexagon of side a. At each vertex `A, B` and `C` a point charge `+q` is fixed and `D,E,F` a point charge `-q` is fixed. Intensity of electric field at a point lying on the line joining `FC` at a distance `x` away from the centre of hexagon `(x gt gt gt gta)` is found to be `(sqrt(alpha)aq)/(2piepsilon_(0)x^(3))` where `alpha` is an integer. Find `alpha`

Answer

7

Explanation

`E=(K(2P_(0)))/(x^(3)) sqrt(1+3/4)=1/(4piepsilon_(0)) (4aq)/(x^(3)) (sqrt(7))/2=(sqrt(7)aq)/(2piepsilon_(0)x^(3))`