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 is​

Answer 1

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• To Find : Refractive index µzx
• Given : refractive index µxy= 2/3,and the refractive index µyz = 4/3

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When the light goes from one medium ( other than vacuum or air) to another medium then that refractive index is called relative refractive index.

for example : refractive index of medium 1 with respect to medium 2 , µ12 = µ1/µ2

↪ refractive index of air or vaccum is 1.

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the refractive index of x with respect to y,

$uxy= \frac{2}{3}$

the refractive index of y with respect to z,

$uyz= \frac{4}{3}$

the refractive index of z with respect to x

$uzx = \frac{uz}{ux}$

$= \frac{uz}{uy} \times \frac{uy}{ux}$

$= \frac{3}{4} \times \frac{3}{2}$

$= \frac{9}{8}$

Answer 2

Answer:

9/8

Explanation:

n12 × n23 × n31=1

n(xy) × n(yz) × n(zx) =1

(2/3) × (4/3) × n(zx) =1

n(zx) =9/8