Give relation between vacuum permittivity, vacuum permeability and speed of light.

Explanation

As we know that,
`1/(4piepsi_(0))=9xx10^(9)(Nm^(2))/c^(2)andmu_(0)/(4pi)=10^(-7)(Tm)/A`
Now, `mu_(0)epsi_(0)=(mu_(0)/(4pi))((4piepsi_(0))/1)`
= `(1xx10^(-7))(1/(9xx10^(9)))=1/(9xx10^(16))`
= `1/((3xx10^(8))^(2))`
but `3xx10^(8)m//s` is the speed of light in vacuum.
`thereforemu_(0)epsi_(0)=1/c^(2)`
`thereforec=1/sqrt(mu_(0)epsi_(0))`