First slide

Dimensions of physical quantities

Question

The dimensional formula of magnetic permeability is

Moderate

A

$[M^{0} L^{- 1} T]$
B

$[M^{0} L^{2} T^{- 1}]$
C

$[M^{0} L^{2} T^{- 1} A^{2}]$
D

$[M L T^{- 2} A^{- 2}]$

Solution

As, $\frac{F}{l} = \frac{μ_{0} I_{1} I_{2}}{2 π r}$
$[u] = \frac{[F]}{[l_{1} l_{2}]} = \frac{[M L T^{- 2}]}{[A^{2}]}$
$= [M L T^{- 2} A^{- 2}]$

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