# Show that units of #1/sqrt(epsilon_o*mu_o)#= #ms^(-1)# ?

##### 1 Answer

There are many methods by which we can attempt to show the units of

We know that derived unit of farad in SI base units are

As such SI units of permittivity become

Now

Reduced to base SI units of henry is

As such SI units of permeability become

Now we that LHS of equation has units as of

Hence proved.

.-.-.-.-.-.-

We know that by definition

#c-=1/sqrt(epsilon_0 cdotmu_0)#

where#c# is velocity of light in vacuum (free space).

Since units of velocity are

Hence proved