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Solve the Example. 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? - Science

Short Note

Solve the example.

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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Solution

\[{}{a}{\mu}_g = \frac{3}{2} \text{ and } {}{a}{\mu}_w = \frac{4}{3}\]

\[ {}{w}{\mu}_g = ?\]

where, 

\[{}{w}{\mu}_g = \text{ Refractive index of glass w . r . t . water} \]
\[ {}{a}{\mu}_g = \text{ Absolute refractive index of glass } \]
\[ {}{a}{\mu}_w =\text{ Absolute refractive index of water} \]

Now, 

\[{}{a}{\mu}_g = \frac{3}{2} \text{ and } {}{a}{\mu}_w = \frac{4}{3}\]

\[{}{w}{\mu}_g = \frac{{}{a}{\mu}_g}{{}{a}{\mu}_w} = \frac{3}{2} \times \frac{3}{4} = \frac{9}{8}\]

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