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Derivation of Kp and Kc

[ Permeabilit...

Question

$[\frac{P e r m e a b i l i t y}{P e r m i t t i v i t y}]$ will have the dimensions of :

M^{0} L^{0} T^{0} A^{0}

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M^{2} L^{2} T^{4} A^{2}

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M^{2} L^{4} T^{- 6} A^{- 4}

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M^{- 2} L^{- 4} T^{6} A^{4}

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Solution

The correct option is C $M^{2} L^{4} T^{- 6} A^{- 4}$
Permeability $= μ_{0} = M L A^{- 2} T^{- 2}$ .........(1)
Permittivity $= M^{- 1} L^{- 3} A^{2} T^{4}$ .................(2)
So, $\frac{e q^{n} (1)}{e q^{n} (2)} = \frac{M L A^{- 2} T^{- 2}}{M^{- 1} L^{- 3} A^{2} T^{4}} = M^{2} L^{+ 4} A^{- 4} T^{- 6}$
Hence, option C is correct.

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