Question
Show that the relative refractive index of medium 2 with respect to medium 1 can be expressed as the ratio of their absolute refractive indices.
Solution
Let, n1 and n2 be the absolute refractive indices of media 1 and 2, and
v1 and v2 be the speeds of light in the two media.
Then,
and
But, the relative refractive index of medium 2 with respect to medium 1 is,
v1 and v2 be the speeds of light in the two media.
Then,
and
But, the relative refractive index of medium 2 with respect to medium 1 is,