Dimensions of 1/u0E0 where symbols have their usual meaning, are

Question

Dimensions of \({1 \over {{\mu _0}{\varepsilon _0}}}\) where symbols have their usual meaning, are

1. [ L^-1T ]
2. [ L^-2T² ]
3. [ L²T^-2 ]
4. [ LT^-1 ]

Answer 1

Correct option is C ) [ L²T^-2 ]

Explaination::

The velocity of light in vacuum is

c = \({1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}\)

\(\therefore[{1 \over {{\mu _0}{\varepsilon _0}}}]\) = [c²] = [L²T^-2]

\(\therefore\) Dimension of \({1 \over {{\mu _0}{\varepsilon _0}}}\)= [L²T^-2]