Q. Dimensions of $\frac{1}{\mu_{0}\varepsilon_{0}},$ where symbols have their usual meaning, are
A) $\left\lbrack L^{- 1}T \right\rbrack$
B) $\left\lbrack L^{2}T^{2} \right\rbrack$
C) $\left\lbrack L^{2}T^{- 2} \right\rbrack$
D) $\left\lbrack {LT}^{- 1} \right\rbrack$
Explanation
Velocity is given by $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ v = \frac{1}{\sqrt{\mu_{0}\varepsilon_{0}}}$ $\therefore\ \ \ \ \ \ \ \ \ \ v^{2} = \frac{1}{\mu_{0}\varepsilon_{0}} = \left\lbrack LT^{- 1} \right\rbrack^{2}$ $\therefore\ \ \ \ \ \ \frac{1}{\mu_{0}\varepsilon_{0}} = \left\lbrack L^{2}T^{- 2} \right\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.