# 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)?

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)?

1. $\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}}$

2. $\frac{\mu_{0}}{\varepsilon_{0}}$

3. $\sqrt{\frac{\varepsilon_{0}}{\mu_{0}}}$

4. $\frac{\varepsilon_{0}}{\mu_{0}}$

JEE Main Previous Year Single Correct Question of JEE Main from Chemistry Laws of Motion 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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