Figure shown an arrangement of three points charges. The total potential energy of this arrangement zero. The ratio `(q)/(Q)` is :

Explanation

`U_("sys") = (1)/(4pi epsilon_(0))[(-qQ)/(r )+((+q)(+q))/(2r) + (Q(-q))/(r )] = 0`
`-Q + (q)/(2) - Q = 0` or `2Q = (q)/(2)` or `(q)/(Q) = (4)/(1)`