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JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Self Evaluation Test - Electromagnetic Induction

  • question_answer
    A conducting wire xy of length\[l\]and mass m is sliding without friction on vertical conduction rails ab and cd shown in Fig. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with a constant velocity of  

    A) \[\frac{mgR}{Bl}\]

    B) \[\frac{mgR}{B{{l}^{2}}}\]

    C) \[\frac{mgR}{{{B}^{2}}{{l}^{2}}}\]

    D) \[\frac{mgR}{{{B}^{2}}l}\]

    Correct Answer: C

    Solution :

    [c] \[BI\ell =mg\]  or \[B\frac{Bv\ell }{R}\ell =mg\] or \[v=\frac{mgR}{{{B}^{2}}{{\ell }^{2}}}\]


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