$XPQY$ is a vertical smooth long loop having a total resistance $R$,where $PX$ is parallel to $QY$ and the separation between them is $l$. $A$ constant magnetic field $B$ perpendicular to the plane of the loop exists in the entire space. $A$ rod $CD$ of length $L$ $(L > l)$ and mass $m$ is made to slide down from rest under gravity as shown in the figure. The terminal speed acquired by the rod is . . . . . . $m/s$. ($g$ = acceleration due to gravity)

  • A
    $ \frac{2mgR}{B^{2}l^{2}} $
  • B
    $ \frac{8mgR}{B^{2}l^{2}} $
  • C
    $ \frac{2mgR}{B^{2}L^{2}} $
  • D
    $ \frac{mgR}{B^{2}l^{2}} $

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