The needle of a deflection galvanometer shows a deflection of $60^o $ due to a short bar magnet at a certain distance in $\tan A$ position. If the distance is doubled, the deflection is

  • A

    ${\sin ^{ - 1}}\left( {\frac{{\sqrt 3 }}{8}} \right)$

  • B

    ${\cos ^{ - 1}}\left( {\frac{{\sqrt 3 }}{8}} \right)$

  • C

    ${\tan ^{ - 1}}\left( {\frac{{\sqrt 3 }}{8}} \right)$

  • D

    ${\cot ^{ - 1}}\left( {\frac{{\sqrt 3 }}{8}} \right)$

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