Physics - Electrostatics Question with Solution | TestHub

Three point charges ${\mathrm{q}}_1,{\mathrm{q}}_2$ and ${\mathrm{q}}_3$ are taken such that when ${\mathrm{q}}_1$ and ${\mathrm{q}}_2$ are placed close together to form a single point charge, the force on ${\mathrm{q}}_3$ at distance L from this combination is a repulsion of 2 units in magnitude. When ${\mathrm{q}}_2$ and ${\mathrm{q}}_3$ are so combined the force on ${\mathrm{q}}_1$ at distance L is an attractive force of magnitude 4 units. Also ${\mathrm{q}}_3$ and ${\mathrm{q}}_1$ when combined exert an attractive force on ${\mathrm{q}}_2$ of magnitude 18 unit at same distance L. The algebraic ratio of charges ${\mathrm{q}}_1,{\mathrm{q}}_2$ and ${\mathrm{q}}_3$ is