An electric dipole is placed along the \[x-\]axis at the origin \[O\]. A point \[P\] is at a distance of \[20\,cm\] from this origin such that \[OP\] makes an angle \[\frac{\pi }{3}\] with the x-axis. If the electric field at \[P\] makes an angle \[\theta \] with the x-axis, the value of \[\theta \] would be [MP PMT 1997]

• A.                    \[\frac{\pi }{3}\]
• B.                                      \[\frac{\pi }{3}+{{\tan }^{-1}}\left( \frac{\sqrt{3}}{2} \right)\]
• C.                    \[\frac{2\pi }{3}\]
• D.                                      \[{{\tan }^{-1}}\left( \frac{\sqrt{3}}{2} \right)\]