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

  • A

    $\frac{\pi}{3}$

  • B

    $\frac{\pi}{3} + \tan^{-1} \,\left( {\frac{{\sqrt 3 }}{2}} \right)$

  • C

    $\frac{2 \pi}{3}$

  • D

    $\tan^{-1} \,\left( {\frac{{\sqrt 3 }}{2}} \right)$

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