A short magnetic needle is pivoted in a uniform magnetic field of strength $1 \,T.$  When another magnetic field of strength $\sqrt 3 \,T$ is applied to the needle in a perpendicular direction, the needle deflects through an angle $\theta$, where $\theta$ is....$^o$

  • A

    $30$

  • B

    $45$

  • C

    $90$

  • D

    $60$

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  • [IIT 1970]