The refractive index of a medium x with respect to y is 2/3 and the refractive index of medium y with respect to z is 4/3 Calculate the refractive index of medium z with respect to medium x
Refractive index of air, μair = 1;
Given;
Refractive index of medium x w.r.t medium y, μxy
;
Refractive index of medium y w.r.t medium z, μyz
;
Refractive index of medium z w.r.t medium x = μzx = 
⇒ μzx = 
⇒ μzx = 
⇒ μzx = 
⇒ μzx =
⇒ μzx = 
∴ Refractive index of medium z w.r.t medium x is 
.
38