Question

The dimensional formula of $\frac{1}{{\mu }_0{\in }_0}$ is .............

• A. $\left[M^0{L}^2{T}^{-2}\right]$
• B. $\left[M^0{L}^1{T}^{-1}\right]$
• C. $\left[M^0{L}^{-2}{T}^{-2}\right]$
• D. $\left[M^0{L}^1{T}^{-2}\right]$

Answer 1

Answer: (A)

$c=\frac{1}{\sqrt{{\mu }_0{\in }_0}}$
or $c^2=\frac{1}{{\mu }_0{\in }_0}$
The dimensional formula is, $\left[\frac{1}{{\mu }_0{\in }_0}\right]=\left[M^0{L}^2{T}^{-2}\right]$