If \({\mu }_{0}\) and \({\epsilon }_{0}\) are the permeability and permittivity of free space, respectively, then the di…
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If \({\mu }_{0}\) and \({\epsilon }_{0}\) are the permeability and permittivity of free space, respectively, then the dimension of \(\left(\frac{1}{{\mu }_{0}{\epsilon }_{0}}\right)\) is :
[JEE Main 2025, 2 Apr (Shift 2)]
✓ Correct answer: c)
\({\mathrm{L}}^{2}{\mathrm{T}}^{-2}\)
Explanation
\(C=\frac{1}{\sqrt{\mu_0 \varepsilon_0}} \Rightarrow \frac{1}{\mu_0 \varepsilon_0}=C^2=L^2 T^{-2}\)
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