Physics - Unit & Dimension Question with Solution | TestHub

The power factor is defined as,$\cos \varphi$which is dimensionless, the formula of quality factor,$Q=\frac{1}{R}\sqrt{\frac{L}{C}}$, which is also dimensionless, and the permeability in free space,${\mu }_r=\frac{\mu }{{\mu }_0}$, but permeability in free space is defined as,${\mu }_0=\frac{c^2}{{\epsilon }_0}$, here$c$is the speed of light in vacuum and${\epsilon }_0$is the permittivity in free space so this having dimension.