Question

Dimensions of $\frac{1}{{\mu }_0{ϵ}_0}$,where symbols have their usual meaning,are

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

Answer 1

The correct option is D

$\left[L^2{T}^{-2}\right]$

Velocity of light in vacuum, $c=\frac{1}{\sqrt{{\mu }_0{ϵ}_0}}\Rightarrow \frac{1}{{\mu }_0{ϵ}_0}=[L{T}^{-1}{]}^2=L^2{T}^{-2}$