Question

The dimensional formula of magnetic permeability is

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

Answer 1

Answer: (D)

$\frac{F}{l}=\frac{\mu _{0} I_{1} I_{2}}{2 \pi r}$
Or $\left[\mu _{0}\right]=\frac{\left[\right. F \left]\right.}{\left[\right. I_{1} I_{2} \left]\right.}=\frac{\left[\right. M L T^{- 2} \left]\right.}{\left[\right. A^{2} \left]\right.}=\left[\right.MLT^{- 2}A^{- 2}\left]\right.$ .