The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant k = 3 and permeability of μ = 2μ₀, is
(μ₀ = permeability of vacuum)

Question

The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant k = 3 and permeability of μ = 2μ₀, is (μ₀ = permeability of vacuum)

G1 Physics · Accepted Answer

Speed of an electromagnetic wave in a medium is v = 1/√(με). In vacuum, c = 1/√(μ₀ε₀). Therefore, c/v = √[(μ/μ₀)(ε/ε₀)]. Given, μ/μ₀ = 2, ε/ε₀ = 3. Hence, c/v = √(2×3) = √6. Therefore, c : v = √6 : 1. Correct option: D.