A metal sample carrying a current along $X-$ axis with density $J_x$ is subjected to a magnetic field $B_z$ ( along $z-$ axis ). The electric field $E_y$ developed along $Y-$ axis is directly proportional io $J_x$ as well as $B_z$ . The constant of proportionality has $SI\, unit$.

  • [JEE MAIN 2013]
  • A

    $\frac{{{m^2}}}{A}$

  • B

    $\frac{{{m^3}}}{As}$

  • C

    $\frac{{{m^2}}}{As}$

  • D

    $\frac{{As}}{{{m^3}}}$

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