Question

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. $Nm ^2 C ^{-1} ; Nm ^3 C ^{-1}$
• B. $Nm ^3 C ; Nm ^2 C$
• C. $Nm ^2 C ; Nm ^3 C$
• D. $Nm ^3 C ^{-1} ; Nm ^2 C ^{-1}$

Answer 1

Answer: (A)

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

Answer 2

E=x2A​i^+y3B​j^​
[x2A​]=NC−1⇒[A]=Nm2C−1
[y3B​]=NC−1⇒[B]=Nm3C−1