Dimensions of \(\varepsilon_{0} \mu_{0}\) are

Dimensions of \(\varepsilon_{0} \mu_{0}\) are
  1. \(\left[L T^{-1}\right]\)
  2. \(\left[L T^{-2}\right]\)
  3. \(\left[L^{2} T^{-2}\right]\)
  4. \(\left[L^{-2} T^{2}\right]\)

Solution

We know that speed of e.m. wave is
\(C=\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}} \Rightarrow \mu_{0} \varepsilon_{0}=\frac{1}{C^{2}}=\left[L^{-2} T^{2}\right]\)

Asked in: JEE Mains - Units and Dimensions - Chapter Test

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