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Q.

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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a

1.33

b

1.13

c

1.11

d

1.19

answer is B.

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Detailed Solution

The refractive index of benzene with respect to water is

1.13

.
Given,

μ_{w} = 1.33

and

μ_{b} = 1.50

Let

μ_{b}

be the refractive index of benzene and

μ_{w}

be the refractive index of the water.
Also, let

μ_{bw}

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

\Rightarrow μ_{bw} = \frac{μ_{b}}{μ_{w}}

{\Rightarrow μ}_{bw} = \frac{1.50}{1.33}

{\Rightarrow μ}_{bw} = 1.13

Hence, the refractive index of benzene with respect to water is

1.13

.

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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?