Question

if the absolute refractive indices of glass and water are 3/2 and 4/3 respectively , what is the refractive index of glass with respect to water?

Answer 1

Answer:

The answer is in the attachment

Explanation:

C refers to velocity of light in vacuum . absolute refractive index is calculated by using the speed of light in vacuum rather than in air .

Answer 2

Given:

• The refractive indices of glass = 3/2
• The refractive indices of water = 4/3

To Find:

• The refractive of glass with respect to water.

Solution:

The absolute refractive index for a medium is given by,

Refractive index = speed of light in vacuum/speed of light in given medium = v(Vaccum)/v(medium)

We have two mediums here, water and glass.

The refractive index when glass is the medium = v(vaccum)/v(glass) = 3/2

The refractive index when water is the medium = v(vaccum)/v(water) = 4/3

Now,

the refractive index of glass with respect to water = v(water)/v(glass)={{v(water)/v(vaccum)}/{(v(glass)/v(vaccum)}}

the refractive index of glass with respect to water = (3/4)/(2/3)

the refractive index of glass with respect to water =(3/4) * (3/2)=9/8

∴ The refractive index of glass with respect to water = 9/8