Electric field in a certain region is given by $\overrightarrow{ E }=\left(\frac{ A }{ x ^2} \hat{ i }+\frac{ B }{ y ^3} \hat{ j }\right)$. The $SI$ unit of $A$ and $B$ are

  • [JEE MAIN 2023]
  • A

    $Nm ^3\,C ^{-1} ; Nm ^2 \,C ^{-1}$

  • B

    $Nm ^2\, C ^{-1} ; Nm ^3 \,C ^{-1}$

  • C

    $Nm ^3 \,C ; Nm ^2 \,C$

  • D

    $Nm ^2 \,C ; Nm ^3\, C$

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