Question

A quantity $x$ is defined by the equation $x=3C{B}^2$ . where $C$ is capacitance in farad, $B$ represents magnetic induction field strength in tesla. The dimensions of $x$ are :

• A. $M{L}^{-2}$
• B. $M{L}^{-2}{T}^{-2}$
• C. $M^1{L}^{-2}{T}^2{I}^2$
• D. $L^{-1}{I}^{-1}$

Answer 1

The correct option is A $M{L}^{-2}$

$x=3C{B}^2$
$C=M^{-1}{L}^{-2}{T}^4{I}^2$
$B=M^1{L}^0{I}^{-1}{T}^{-2}$
$x=M{L}^{-2}$