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Question

Question: Dimensions of permeability are...

Dimensions of permeability are

A

A−2M1L1T−2A^{- 2}M^{1}L^{1}T^{- 2}

B

MLT−2MLT^{- 2}

C

ML0T−1ML^{0}T^{- 1}

D

A−1MLT2A^{- 1}MLT^{2}

Answer

A−2M1L1T−2A^{- 2}M^{1}L^{1}T^{- 2}

Explanation

Solution

F=μ04π2I1I2lrF = \frac{\mu_{0}}{4\pi}\frac{2I_{1}I_{2}l}{r} ⇒\Rightarrow μ0=[F][A]−2=[MLT−2A−2]\mu_{0} = \lbrack F\rbrack\lbrack A\rbrack^{- 2} = \lbrack MLT^{- 2}A^{- 2}\rbrack