Question

The dimensional formula of permeability of free space $\mu_0$ is

• A. $[MLT^{-2}A^{-2}]$
• B. $[M^0 L^1 T]$
• C. $[M^0 L^2 T^{-1}A^2]$
• D. none of these

Answer 1

Answer: (A)

Permeability of free space
$\mu_{0}=\frac{2 \pi \times \text { force } \times \text { distance }}{\text { current } \times \text { current } \times \text { length }}$
Dimensional formula of $\mu_0=\frac{[MLT^{-2}][L]}{[A][A][L]}$
$ =[MLT^{-2}A^{-2}]$