TS EAMCET · Physics · Units and Dimensions
What is the dimension of \(\frac{1}{\mu_0 \varepsilon_0}\) ? \(\left(\mu_0=\right.\) magnetic permeability and \(\varepsilon_0=\) permittivity of free space)
- A \(\left[\mathrm{L}^2 \mathrm{~T}^{-2}\right]\)
- B \(\left[\mathrm{LT}^{-1}\right]\)
- C \(\left[\mathrm{L}^2 \mathrm{~T}^2\right]\)
- D \(\left[\mathrm{LT}^2\right]\)
Answer & Solution
Correct Answer
(A) \(\left[\mathrm{L}^2 \mathrm{~T}^{-2}\right]\)
Step-by-step Solution
Detailed explanation
Velocity of electromagnetic wave in free space is given as \(c=\frac{1}{\sqrt{\mu_0 \varepsilon_0}} \Rightarrow c^2=\frac{1}{\mu_0 \varepsilon_0} \Rightarrow \frac{1}{\mu_0 \varepsilon_0}=c^2\) \(\Rightarrow\) Dimensions of…
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