Question

The refractive index of a medium x' with respect to a 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 100 ms, calculate the speed of light
in medium ‘y.​

Answer 1

ynx=2/3

zny=4/3

xnz=?

xny × ynz × znx = 1

1/ynx × 1/zny × znx= 1

3/2 × 3/4 × znx = 1

9/8 × znx = 1

9/8 = 1/ znx

9/8 = xnz

Therefore Refractive Index of medium z with respect to x = 9/8