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If electronic charge e, electron mass m, speed of light in vacuum c and Planck's constant h are taken as fundamental quantities, the permeability of vacuum $\mu_{0}$ can be expressed in units of
Explanation
Let $\mu_{0}$ related with e, m, c and h as follows. $\mu_{0} = ke^{a}m^{b}c^{c}h^{d}$ $[MLT^{-2}A^{-2}] = [AT]^{a}[M]^{b}[LT^{-1}]^{c}[ML^{2}T^{-1}]^{d} = [M^{b+d}L^{c+2d}T^{a-c-d}A^{a}]$ On comparing both sides we get $a = -2$...(i). $b + d = 1$. $c + 2d = 1$. $a - c - d = -2$ By equation (i), (ii), (iii) & (iv) we get, $a = -2$, $b = 0$, $c = -1$, $d = 1 \therefore [\mu_{0}] = [h/(ce^{2})]$
