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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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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Verified answer
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:
: ➙ Refractive index of glass = 3/2
: ➙ Refractive index of water = 4/3
Refractive index of glass with respect to water..?
: ➙ n2 = 3/2
: ➙ n1 = 4/3
Now substitute values in formula..
Therefore,
Refractive index of glass with respect to water = 9/8