Question

The dimensions of $\frac{1}{{\mu }_0{\in }_0}$ is (where symbols have their usual menaing)

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

Answer 1

Answer: (A)

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

Velocity of light in vacuum is $\frac{1}{\sqrt{\left({\mu }_0{\in }_0\right)}}$

$\left[L{T}^{-1}\right]=\left[\frac{1}{\sqrt{\left({\mu }_0{\in }_0\right)}}\right]$

$\left[L^2{T}^{-2}\right]=\left[\frac{1}{\left({\mu }_0{\in }_0\right)}\right]$

Hence,

option $\left(A\right)$ is correct answer.