Question

The dimensions of ${\left({\mu }_0{\epsilon }_0\right)}^{-1/2}$ are :

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

Answer 1

Answer: (B)

$\left[L{T}^{-1}\right]$

Since expression for speed of light $c=\frac{1}{\sqrt{{\mu }_0{\epsilon }_0}}$, the given expression has the dimensions of velocity i.e. $L{T}^{-1}$.

Hence, option B is correct.