First slide

Dimensions of physical quantities

Question

The dimensions of $ε_{0} μ_{0}$ are

Moderate

A

$[L T^{- 1}]$
B

$[L T^{- 2}]$
C

$[L^{2} T^{- 2}]$
D

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

Solution

We know that the speed of electromagnetic wave is
$C = \frac{1}{\sqrt{μ_{0} ε_{0}}} \Rightarrow μ_{0} ε_{0} = \frac{1}{C^{2}} = [L^{- 2} T^{2}]$

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