Question

The dimensional formula of magnetic induction $B$ is

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

Answer 1

Answer: (D)

$F_{m}=Bqv$
or $\left[B\right]=\left[\frac{F_{m}}{q v}\right]=\left[\frac{F_{m}}{I t v}\right]$
$=\frac{\left[M L T^{- 2}\right]}{\left[A\right] \left[T\right] \left[\right. L T^{- 1} \left]\right.}=\left[\right.ML^{0}T^{- 2}A^{- 1}\left]\right.$