Question

The refractive index of water with respect to air is 4/3 and that of glass is 3/2.What is the refractive index glass with respect to water?

Answer 1

HERE IS YOUR ANSWER :-

Refractive index of water wrt air (water n air)= 4/3

Refractive index of glass wrt air (glass n air) = 3/2

Refractive index of glass wrt water ( glass n water) = (glass n air)× (air n water) = (glass n air)× (1/water n air) = 4/3 × 2/3 = 8/9.

My above answer written by me was wrong. The correct answer is not 8/9 but rather 9/8.

Refractive index of water wrt air= 4/3

Refractive index of glass wrt to air = 3/2

Refractive index of air wrt water = 1/(refractive index of water wrt air) = 1/(4/3) = 3/4

Refractive index of glass wrt water = (Refractive index of glass wrt air) × (refractive index of air wrt water) = (3/2) × (3/4) = 9/8.

Answer 2

$\huge{\underline{\tt{\pink{Answer-}}}}$

$\dfrac {9}{8}$

Explanation:

Refractive index of water wrt air (water n air)= $\dfrac{4}{3}$

Refractive index of glass wrt air (glass n air) = $\dfrac {3}{2}$

Refractive index of air wrt water =

1/(refractive index of water wrt air) =

1/(4/3) = 3/4

Refractive index of glass wrt water = (Refractive index of glass wrt air) × (refractive index of air wrt water) = $\dfrac {3}{2} \times \dfrac {3}{4} = \dfrac {9}{8}$