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
  • 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$Nm ^2 \,C ; Nm ^3\, C$
JEE MAIN 2023, Medium
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