JEE Main & Advanced Sample Paper JEE Main - Mock Test - 8

  • question_answer
    A rod of length l. negligible resistance and mass m slides on two horizontal frictionless rails of negligible resistance by hanging a block of mass w; with the help of insulating massless string passing through fixed massless pulley (as shown). If a constant magnetic field B acts vertically upwards perpendicular to the plane of the figure, the terminal velocity of hanging mass is

    A) \[\frac{{{m}_{1}}gR}{{{B}^{2}}{{l}^{2}}}\]upward     

    B) \[\frac{{{m}_{1}}gR}{{{B}^{2}}{{l}^{2}}}\] downward

    C)  \[\frac{{{m}_{1}}gR}{2{{B}^{2}}{{l}^{2}}}\]downward

    D) \[\frac{{{m}_{1}}gR}{{{B}^{2}}l}\] downward

    Correct Answer: B

    Solution :

    [b] For terminal velocity Net force =0 So, \[{{m}_{1}}g={{F}_{m}},{{m}_{1}}g=Bi\ell =B\left( \frac{B\ell v}{R} \right)\ell ,v=\frac{{{m}_{1}}gR}{{{B}^{2}}{{\ell }^{2}}}\]


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