Question

The refractive index of a medium 'x' with respect to medium 'y' is 2/3
and the refractive index of medium 'y' with respect to medium 'z' is 4/3.
Find the refractive index of medium 'z' with respect to medium 'x'. If the
speed of light in medium 'X'is 3 x 10^8 m/s,calculate the speed of light in medium 'y'.


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Answer 1

The refractive index of a medium 'x' with respect to medium 'y' is 2/3

and the refractive index of medium 'y' with respect to medium 'z' is 4/3.

Find the refractive index of medium 'z' with respect to medium 'x'. If the

speed of light in medium 'X' is 3 x 10^8 m/s,calculate the speed of light in medium 'y'.

Answer:

The  Refractive index of medium z w.r.t medium x is 9/8

Step-by-step explanation:

Refractive index of air, μair = 1;

Refractive index of medium x w.r.t medium y, μxy =2/3;

Refractive index of medium y w.r.t medium z, μyz= 4/3;

Refractive index of medium z w.r.t medium x = μzx =   μz/μx =  μz/μy * μy/ μx

μzx = 1/ μy/μz * 1/ μx/μy

μzx =1 /4/3  * 1 /2/3

μzx = 3/4 *3/2

μzx =9/8

Therefore the  Refractive index of medium z w.r.t medium x is 9/8