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

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

Answer:

${ \large{ \pmb{ \sf{★Given... }}}}$

: ➙ Refractive index of glass = 3/2

: ➙ Refractive index of water = 4/3

${ \large{ \pmb{ \sf{★ To \: Find... }}}}$

Refractive index of glass with respect to water..?

${ \large{ \pmb{ \sf{★Used \: Formula... }}}}$

$\sf{n_{21} = \frac{n_{2}}{n_{1}} }$

${ \large{ \pmb{ \sf{ ★Solution... }}}}$

: ➙ n2 = 3/2

: ➙ n1 = 4/3

Now substitute values in formula..

${ \to{ \sf{Refractive \: index \: of \: glass \: with \: respect \: to \: water : }}}$

${ \to{ \sf{ n _{21} = \frac{3}{2} \div \frac{4}{3} }}}$

$\: { \to{ \sf{ n _{21} = \frac{3}{2} \times \frac{3}{4} }}}$

$\: { \to{ \sf{ n _{21} = \frac{9}{8} }}}$

Therefore,

Refractive index of glass with respect to water = 9/8