Q. The dimensions of (μ₀ε₀)^(−1/2) are
A) [L^(−1/2) T^(1/2)]
B) [L^(1/2) T^(−1/2)]
C) [L⁻¹T]
D) [LT⁻¹]
Explanation
[Solution from source] Since c = 1/√(μ₀ε₀), the quantity (μ₀ε₀)^(−1/2) is simply the speed of light and has dimensions [LT⁻¹]. The inverse [L⁻¹T] would be the dimensions of √(μ₀ε₀) itself, not its inverse root. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.