Question

The dimensional formula of $\frac{1}{\mu _{0} \in _{0}}$ is .............

• A. $\left[M^{0} L^{2} T^{- 2}\right]$
• B. $\left[M^{0} L^{1} T^{- 1}\right]$
• C. $\left[M^{0} L^{- 2} T^{- 2}\right]$
• D. $\left[M^{0} L^{1} T^{- 2}\right]$

Answer 1

Answer: (A)

$c=\frac{1}{\sqrt{\mu _{0} \in _{0}}}$
or $c^{2}=\frac{1}{\mu _{0} \in _{0}}$
The dimensional formula is, $\left[\frac{1}{\mu _{0} \in _{0}}\right]=\left[M^{0} L^{2} T^{- 2}\right]$