To charges \[{{q}_{1}}\] and \[{{q}_{2}}\] are placed \[30\,\,cm\] apart, shown in the figure. A third charge \[{{q}_{3}}\]is moved along the arc of a circle of radius \[40\,cm\] from \[C\] to D. The change in the potential energy of the system is \[\frac{{{q}_{3}}}{4\pi {{\varepsilon }_{0}}}k\], where \[k\] is [CBSE PMT 2005]

• A.            \[8\,{{q}_{2}}\]
• B.            \[8\,{{q}_{1}}\]
• C.            \[6{{q}_{2}}\]
• D.            \[6{{q}_{1}}\]