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COMEDK · Physics · 24. Electromagnetic Waves

If \(\mu_0\) is the permeability of free space and \(\varepsilon_0\) permittivity of free space then the dimension for \((\mu_0\,\varepsilon_0)^{1/2}\) is :

  1. A \([L^{-1}T^{-1}]\)
  2. B \([ML^{-1}T]\)
  3. C \([MLT^{-1}]\)
  4. D \([L^{-1}T]\)
Verified Solution

Answer & Solution

Correct Answer

(D) \([L^{-1}T]\)

Step-by-step Solution

Detailed explanation

The speed of light in vacuum is given by the relation \(c = \dfrac{1}{\sqrt{\mu_0 \varepsilon_0}}\). Rearranging this expression, we get \((\mu_0 \varepsilon_0)^{1/2} = \dfrac{1}{c}\). The dimensional formula for the speed of light \(c\) is \([LT^{-1}]\). Therefore, the…
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