The dimension of (\left(\mu\_{0} \in\_{0}\right)^{-1 / 2}) a... | Physics | SolveeIt

The dimension of $\left(\mu_{0} \in_{0}\right)^{-1 / 2}$ are :

$[L^{-1} T]$

$[L T^{-1}]$

$[L^{1/2} T^{1 /2}]$

$[L^{1/2} T^{- 1/2}]$

Answer

$[L T^{-1}]$

Explanation

Velocity of light $c =\frac{1}{\sqrt{\mu_{0} \,\in_{0}}}$
So dimension of given expression is equal to velocity
$\Rightarrow\left[ L\,T ^{-1}\right]$

Physics Question on Dimensional Analysis