Q. The dimensional formula of magnetic permeability is
A) $\lbrack M^{0}L^{- 1}T\rbrack$
B) $\lbrack M^{0}L^{2}T^{- 1}\rbrack$
C) $\lbrack M^{0}L^{2}T^{- 1}A^{2}\rbrack$
D) $\lbrack MLT^{- 2}A^{- 2}\rbrack$
Explanation
From the expression $= \frac{Power}{Area}\ \ \ \ \ \ \ \left( \because\ \ \frac{Energy}{time} = power \right)$ $\frac{W}{m^{2}} = Wm^{- 2}$ $\frac{F}{l} = \frac{\mu_{0}I_{1}I_{2}}{2\pi r}$ Or $\left\lbrack \mu_{0} \right\rbrack = \frac{\lbrack F\rbrack}{\lbrack I_{1}I_{2}\rbrack} = \frac{\lbrack MLT^{- 2}\rbrack}{\lbrack A^{2}\rbrack} = \lbrack MLT^{- 2}A^{- 2}\rbrack$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.