Question

The dimensional formula of magnetic induction $B$ is

• A. [ $M^{0}AL{T}^0$ ]
• B. [ $M^{0}A{L}^{-1}{T}^0$ ]
• C. [ $M^{0}A{L}^2{T}^0$ ]
• D. [ $M{L}^0{T}^{-2}{A}^{-1}$ ]

Answer 1

Answer: (D)

$F_m=Bqv$
or $\left[B\right]=\left[\frac{F_m}{qv}\right]=\left[\frac{F_m}{Itv}\right]$
$=\frac{\left[ML{T}^{-2}\right]}{\left[A\right]\left[T\right][L{T}^{-1}]}=[M{L}^0{T}^{-2}{A}^{-1}]$