Dimensions of `(μ₀ε₀)⁻¹ᐟ²` – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Dimensions of `(μ₀ε₀)⁻¹ᐟ²`

The dimensions of \((\mu_0\epsilon_0)^{-1/2}\) are:

[2012 Mains]

\([L^{1/2}T^{-1/2}]\)
\( L^{-1}T \)
\([LT^{-1}]\)
\([L^{1/2}T^{1/2}]\)

Solution:

The speed of light \(c = 1/\sqrt{\mu_0\epsilon_0}\). Therefore, \((\mu_0\epsilon_0)^{-1/2} = c\). The dimensions of speed are \([LT^{-1}]\).

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