JEE Main 2025 Apr 2 Shift 2, Physics Q18: Electromagnetic Waves

JEE Main2025Apr 2, Shift 2Physics

If $μ_{0}$ and $ε_{0}$ are the permeability and permittivity of free space, respectively, then the dimension of $(\frac{1}{μ _{0} ε _{0}})$ is :

Solution

The speed of light in vacuum is $c = \frac{1}{μ _{0} ε _{0}}$ , so

$\frac{1}{μ _{0} ε _{0}} = c^{2}$ .

Speed has dimensions $L T^{- 1}$ , hence $c^{2}$ has dimensions $L^{2} T^{- 2}$ , i.e. $L^{2} / T^{2}$ .

Concept behind this question

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