Question:
Which of the following combinations has the dimension of electrical resistance $\left(\epsilon_{0}\right.$ is the permittivity of vacuum and $\mu_{o}$ is the permeability of vacuum)?
$\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}}$
$\frac{\mu_{0}}{\varepsilon_{0}}$
$\sqrt{\frac{\varepsilon_{0}}{\mu_{0}}}$
$\frac{\varepsilon_{0}}{\mu_{0}}$
Question of from chapter.
JEE Main Previous Year 2019
Correct Option: 1
Solution:
$\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}}=\sqrt{\frac{\mu_{0}^{2}}{\varepsilon_{0} \mu_{0}}}=\mu_{0} c \quad\left(\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}=c\right)$
$\mu_{0} c \rightarrow \mathrm{MLT}^{-2} \mathrm{~A}^{-2} \times \mathrm{LT}^{-1}$
$\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-2}$
Dimensions of resistance
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