Question

The dimension of magnetic field in $M,L,T$ and $C$ (coulomb) is given as

• A. $\left[ML{T}^{-1}{C}^{-1}\right]$
• B. $\left[M{T}^{-2}{C}^{-1}\right]$
• C. $\left[M{T}^{-2}{C}^{-2}\right]$
• D. $\left[M{T}^{-1}{C}^{-1}\right]$

Answer 1

Answer: (D)

We know that.
$F=q\left(v\times B\right)$,
$B=\frac{\left[F\right]}{\left[q\right]\left[v\right]}$
$=\frac{\left[ML{T}^{-2}\right]}{\left[C\right]\left[L{T}^{-1}\right]}$
$=\left[M{T}^{-1}{C}^{-1}\right]$