$A$ massless square loop of wire of resistance $R$ supporting a mass $M$ hangs vertically with one of its sides in a uniform magnetic field $B$ directed outwards in the shaded region. $A$ d.c. voltage $V$ is applied to the loop. For what value of $V$ will the magnetic force exactly balance the weight of the supporting mass $M$? (side of loop $= L, g =$ acceleration due to gravity)

  • A
    $\frac{Mg}{LBR}$
  • B
    $\frac{LB}{MgR}$
  • C
    $\frac{MgR}{LB}$
  • D
    $\frac{LR}{MgB}$

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