The quantities $\quad x=\frac{1}{\sqrt{\mu_{0} \in_{0}}}, y=\frac{E}{B} \quad$ and $\mathrm{z}=\frac{1}{\mathrm{CR}}$ are defined where C-capacitance,
R-Resistance, $l$-length, E-Electric field, B-magnetic field and $\in_{0}, \mu_{0}$, free space permittivity and permeability respectively. Then :
Correct Option: , 2
$x=\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}=$ speed $\Rightarrow[x]=\left[L^{1} T^{-1}\right]$
$\mathrm{y}=\frac{\mathrm{E}}{\mathrm{B}}=$ speed $\Rightarrow[\mathrm{y}]=\left[\mathrm{L}^{1} \mathrm{~T}^{-1}\right]$
$\mathrm{z}=\frac{\ell}{\mathrm{RC}}=\frac{\ell}{\tau} \Rightarrow[\mathrm{z}]=\left[\mathrm{L}^{1} \mathrm{~T}^{-1}\right]$
So, $x, y, z$ all have the same dimensions.
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