Question

Dimension of \(\frac{1}{μ_0∈_0}\) should be equal to 

• A. \(\frac{L}{T}\)
• B. \(\frac{T}{L}\)
• C. \(\frac{L^2}{T^2}\)
• D. \(\frac{T^2}{L^2}\)

Answer 1

The Correct Option is C

Step 1: Use the relationship between µ₀, ϵ₀, and the speed of light.- Given $c = \frac{1}{\sqrt{\mu_0 \epsilon_0}}$, we know:

$\frac{1}{\mu_0 \epsilon_0} = c^2$.

Step 2: Analyze the dimensions.- Dimensional formula for c: [c] = $\frac{L}{T}$.- Hence, $[\frac{1}{\mu_0 \epsilon_0}]$ = $[c^2]$ = $\frac{L^2}{T^2}$.

Final Answer: The dimension is $\frac{L^2}{T^2}$