Question

b. 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?

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Answer 1

Step-by-step explanation:

Answer :-

Refractive index of glass with respect to water is 9/8 .

Explanation :-

We have :-

→ Refractive index of glass = 3/2

→ Refractive index of water = 4/3

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If 'n₁' and and 'n₂' are refractive indices of Medium 1 and Medium 2 respectively, then refractive index of Medium 2 with respect to Medium 1 (n₂₁) is :-

n₂₁ = n₂/n₁

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Here, n₂ = 3/2 ; n₁ = 4/3

Substituting values, we get :

⇒ n₂₁ = [3/2]/[4/3]

⇒ n₂₁ = 3/2 × 3/4

⇒ n₂₁ = 9/8

Answer 2

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here absolute refractive indices of glass ng = 3/2 and

of water is given as nw = 4/3.

Absolute Refractive Index of a medium

= Speed of light in vacuum/Speed of light in the medium

= v(vacuum)/v(medium)

Therefore,

V(vac.) / V(glass) = 3/2

and V(vac.) / V(water) = 4/3

Therefore the refractive index of glass

with respect to water = V(water)/V(glass)

={V(water)/V(vac.)} / [V(glass)/V(vac.)} = (3/4) /(2 /3) = 9/8 =1.125

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