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प्रश्न
How is the refractive index of a medium related to the speed of light? Obtain an expression for refractive index of a medium with respect to another in terms of speed of light in these two media?
उत्तर
The refractive index of a medium is the ratio of speed of light in vacuum and speed of light in medium.
`"Refractive Index" ("n") = ("Speed of light in absolute vacuum" "(c)")/("Speed of light in medium" (υ))"`
The expression for speed of light from air to medium A,
`"n"_"A" = "c"/υ_"A"`
The expression for speed of light from air to medium B,
`"n"_"B" = "c"/υ_"B"`
The expression for refractive index of a medium A with respect to medium B in terms of speed of light in these two media is,
`"n"_"B"/"n"_"A" = ("c"/υ_"B")/("c"/υ_"A")`
= `upsilon_"A"/upsilon_"B"`
