Electrical field intensity due to an electric dipole on its axis at distance $x$ $(x \gg a)$ and on the equatorial line at distance $y$ $(y \gg a)$ are same. What is the ratio of $x$ and $y$?

  • A
    $ \sqrt{2} : 1 $
  • B
    $ 1 : \sqrt[3]{2} $
  • C
    $ \sqrt[3]{2} : 1 $
  • D
    $ 1 : 2 $

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