Two bar magnets with magnetic moments $ 2 M $ and $M$ are fastened together at right angles to each other at their centres to form a crossed system, which can rotate freely about a vertical axis through the centre. The crossed system sets in earth’s magnetic field with magnet having magnetic moment $2M $ making and angle  $ \theta $ with the magnetic meridian such that

  • A

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

  • B

    $\theta = {\tan ^{ - 1}}\left( {\sqrt 3 } \right)$

  • C

    $\theta = {\tan ^{ - 1}}\left( {\frac{1}{2}} \right)$

  • D

    $\theta = {\tan ^{ - 1}}\left( {\frac{3}{4}} \right)$

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