Question

The dimensional formula of permeability of free space ${\mu }_0$ is

• A. $[ML{T}^{-2}{A}^{-2}]$
• 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 ${\mu }_0=\frac{[ML{T}^{-2}][L]}{[A][A][L]}$
$=[ML{T}^{-2}{A}^{-2}]$