When light propagates through a material medium of relative permittivity _r , and relative permeability μ_r , the velocity of light, v is given by ( c - Physics MCQ NEET 2022 2026 | ExamTest.live

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When light propagates through a material medium of relative permittivity ϵ_{r}, and relative permeability μ_{r}, the velocity of light, v is given by (c - velocity of light in vacuum):

Solution & Step-by-step Explanation

The velocity of light in vacuum is c = \frac{1}{ϵ _{0} μ _{0}} .The velocity of light in a medium is v = \frac{1}{ϵ μ}, where ϵ = ϵ_{0} ϵ_{r} and μ = μ_{0} μ_{r} . v = \frac{1}{ϵ _{0} ϵ _{r} μ _{0} μ _{r}} = \frac{1}{ϵ _{0} μ _{0}} \times \frac{1}{ϵ _{r} μ _{r}} v = \frac{c}{ϵ _{r} μ _{r}}

Try it yourself before checking the explanation above.

When light propagates through a material medium of relative permittivity ϵ_{r}, and relative permeability μ_{r}, the velocity of light, v is given by (c - velocity of light in vacuum):

v = c

v = c \frac{μ _{r}}{ϵ _{r}}

v = c ϵ_{r} μ_{r}

v = \frac{c}{ϵ _{r} μ _{r}}

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