JEE Main & Advanced JEE Main Paper Phase-I (Held on 09-1-2020 Evening)

  • question_answer
    A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform magnetic field B perpendicular to its plane such that when rotated slightly about its diameter and released, it starts performing simple harmonic motion of time period T. If the mass of the loop is m then :            [JEE MAIN Held on 09-01-2020 Evening]

    A) \[T=\sqrt{\frac{2\pi m}{IB}}\]

    B) \[T=\sqrt{\frac{\pi m}{IB}}\]

    C) \[T=\sqrt{\frac{2m}{IB}}\]

    D) \[T=\sqrt{\frac{\pi m}{2IB}}\]

    Correct Answer: A

    Solution :

    \[\tau =MB\sin \theta =I\alpha \] \[\pi {{R}^{2}}IB\theta =\frac{M{{R}^{2}}}{2}\alpha \] \[\omega =\sqrt{\frac{2\pi IB}{m}}\] \[T=\sqrt{\frac{2\pi M}{IB}}\]


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