In the given figure two tiny conducting balls of identical mass \[m\] and identical charge \[q\] hang from non-conducting threads of equal length\[L\]. Assume that \[\theta \] is so small that\[\tan \theta \]\[\approx \]\[\sin \theta \], then for equilibrium \[x\] is equal to

• A. \[{{\left( \frac{{{q}^{2}}L}{2\pi {{\varepsilon }_{0}}mg} \right)}^{\frac{1}{3}}}\]       
• B. \[{{\left( \frac{{{q}^{{}}}{{L}^{2}}}{2\pi {{\varepsilon }_{0}}mg} \right)}^{\frac{1}{3}}}\]
• C. \[{{\left( \frac{{{q}^{2}}{{L}^{2}}}{4\pi {{\varepsilon }_{0}}mg} \right)}^{\frac{1}{3}}}\]    
• D. \[{{\left( \frac{{{q}^{2}}{{L}^{{}}}}{4\pi {{\varepsilon }_{0}}mg} \right)}^{\frac{1}{3}}}\]