An infinitely long string uniformly charged with a linear charge density `lambda_(1)` and a segment of length `l` uniformly charge with linear charge density `lambda_(2)` lie in a plane at right angles to each other and separated by a distance `r_(0)` as shown in figure. The force with which these two interact is `(lambda_(1) lambda_(2))/(4 pi epsi_(0)) ln (x)`. If `l=r_(0)`, then find the value of x.

Answer

4