Refractive index of glass with respect to water is $(9 / 8) .$ Refractive index of glass with respect to air is $(3 / 2)$ . Find the refractive index of water with respect to air.

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Solution

Let refractive index of glass is $R_{g}$ , refractive index of air is $R_{a}$ and refractive index of water is $R_{w}$ .

The refractive index of glass with respect to water is given as,

$R_{g w} = \frac{R_{g}}{R_{w}}$

$\frac{9}{8} = \frac{R_{g}}{R_{w}}$ (1)

The refractive index of glass with respect to air is given as,

$R_{g a} = \frac{R_{g}}{R_{a}}$

$\frac{3}{2} = \frac{R_{g}}{R_{a}}$ (2)

The refractive index of water with respect to air is given as,

$R_{w a} = \frac{R_{w}}{R_{a}}$ (3)

Substitute the values from equation (1) and (2) in equation (3), we get

$R_{w a} = \frac{4}{3}$

Thus, the refractive index of water with respect to air is $\frac{4}{3}$ .

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Similar questions

Q. Find the refractive index of glass with respect to water.
The refractive index of glass with respect to air is

\frac{3}{2}

and the refractive index of water with respect to air is

\frac{4}{3}

respectively.

The refractive index of water with respect to air is a $^{μ} w$ and a glass with respect to air is a $^{μ} g$ . Express the refractive index of glass with respect to water.

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Refractive index of glass with respect to water is (9/8).Refractive index of glass with respect to air is (3/2). Find the refractive index of water with respect to air.

Refractive index of glass with respect to water is $(9 / 8) .$ Refractive index of glass with respect to air is $(3 / 2)$ . Find the refractive index of water with respect to air.