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Consider three quantities $x = E / B, y = \sqrt{\frac{1}{μ_{0} ε_{0}}} a n d z = \frac{l}{C R} .$ Here $l$ is the length of a wire, $C$ is a capacitance and $R$ is a resistance. All other symbols have standard meanings. Then :

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$x, y$ have the same dimensions

$y, z$ have the same dimensions

$z, x$ have the same dimensions

none of the three pairs have the same dimensions

answer is A, B, C.

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Detailed Solution

$E / B$ has dimensions of velocity. $C R$ has dimensions of time and so $\frac{l}{C R}$ has dimensions of velocity. So $x, y a n d z$ all the three have dimensions of velocity

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