Question on Dimensions. Please answer.. Attachment included.
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These are constants in electromagnetic wave theory are related to each other by the equation; The dimensions asked are same as that of speed.![c=\frac{1}{\sqrt{{\mu}_{0}{\epsilon}_{0}}}\\where\\ {\mu}_{0}=\text{Permeability of Free Space}\\ {\epsilon}_{0}=\text{Permittivity of Free Space} \\ c=\text{Speed of Light in vacuum}\\\left[\frac{1}{\sqrt{{\mu}_{0}{\epsilon}_{0}}}\right]=[c]=[L{T}^{-1}]](https://tex.z-dn.net/?f=+c%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B%7B%5Cmu%7D_%7B0%7D%7B%5Cepsilon%7D_%7B0%7D%7D%7D%5C%5Cwhere%5C%5C+%7B%5Cmu%7D_%7B0%7D%3D%5Ctext%7BPermeability+of+Free+Space%7D%5C%5C+%7B%5Cepsilon%7D_%7B0%7D%3D%5Ctext%7BPermittivity+of+Free+Space%7D+%5C%5C+c%3D%5Ctext%7BSpeed+of+Light+in+vacuum%7D%5C%5C%5Cleft%5B%5Cfrac%7B1%7D%7B%5Csqrt%7B%7B%5Cmu%7D_%7B0%7D%7B%5Cepsilon%7D_%7B0%7D%7D%7D%5Cright%5D%3D%5Bc%5D%3D%5BL%7BT%7D%5E%7B-1%7D%5D+ "c=\frac{1}{\sqrt{{\mu}_{0}{\epsilon}_{0}}}\\where\\ {\mu}_{0}=\text{Permeability of Free Space}\\ {\epsilon}_{0}=\text{Permittivity of Free Space} \\ c=\text{Speed of Light in vacuum}\\\left[\frac{1}{\sqrt{{\mu}_{0}{\epsilon}_{0}}}\right]=[c]=[L{T}^{-1}]")
LilVaibhav:
Thanks!
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