Question

The dimensional formula of ${\mu }_0$ ${ϵ}_0$ is

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

Answer 1

Answer: (A)

$C=\frac{1}{\sqrt{{\mu }_0{ϵ}_0}}\Rightarrow {\mu }_0{ϵ}_0=\frac{1}{C^2}$
$C\to M^0{L}^1{T}^{-1}$
$\Rightarrow$ $\frac{1}{C^2}\to M^0{L}^{-2}{T}^2$