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What would be the refractive index of benzene with respect to water if the refractive indices of water and benzene with respect to air are $1.33$ and $1.50$ respectively?

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1.33

1.13

1.11

1.12

answer is B.

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Detailed Solution

The refractive index of benzene with respect to water if the refractive indices of water and benzene with respect to air are

1.33

and

1.50

respectively is

1.13

.
Given:

μ_{b} = refractive index of benzene

= 1.50

μ_{w} = refractive index of water

= 1.33

Let

μ_{bw}

be the refractive index of benzene with respect to water.
Using the formula

μ_{bw} = \frac{μ_{b}}{μ_{w}}

\Rightarrow μ_{bw} = \frac{1.50}{1.33}

\Rightarrow μ_{bw} = 1.127

\Rightarrow μ_{bw} ≃ 1.13

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