Units & Dimensions

JEE Main level, single correct, medium

40 of 149

Question 40 of 149

If μ0\mu_0 and ε0\varepsilon_0 are the permeability and permittivity of free space, respectively, then the dimension of (1μ0ε0)\left(\frac{1}{\mu_0 \varepsilon_0}\right) is :

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Answer: (B) L2/T2L^2 / T^2

C=1μ0ε0⇒1μ0ε0=C2=L2 T−2\mathrm{C}=\frac{1}{\sqrt{\mu_0 \varepsilon_0}} \Rightarrow \frac{1}{\mu_0 \varepsilon_0}=\mathrm{C}^2=\mathrm{L}^2 \mathrm{~T}^{-2}

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