Question

Refractive index of glass with respect to air is 1.5 and refractive index of water with respect to air is 4/3. What will be the refractive index of glass with respect to water?​

Answer 1

Answer:

9/8

Explanation:

RF of water wrt air=4/3

RF of glass wrt air=3/2

RF of air wrt Water=4/3

Therefore,RF of glass wrt Water=3/2*3/4=9/8

Answer 2

The refractive indices of water and glass with respect to air are ​4/3 and 1.5 ​ respectively. What is the refractive index of glass with respect to water?

(A) (43+1.5)

(B) (1.5−43)

(C) (1.5×43)

(D) (1.5÷43)

Let us consider the velocity of light in a vacuum as c

The velocity of light in glass ng

The velocity of light in water nl

From the definition of the refractive index, the refractive index of glass with respect to air is c/ng=μg

The refractive index of water with respect to air is c/nl=μl

μ Represents the refractive index of the respective medium.

From the question,

Refractive indices of water and glass with respect to air are ​4/3 and 1.5

The refractive index of glass with respect to water, μgμl=1.5÷43

Hence option (D) 1.5÷43 is the correct answer.

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