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If the refractive index of the ice with respect to air is $1.31$ and that of rock salt is $1.54$ . The refractive index of rock salt with respect to ice is [[1]].

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Detailed Solution

The refractive index of rock salt with respect to ice is

1.18

.
Refractive index of the ice with respect to air

= 1.31

\frac{Speed of light in air}{Speed of light in ice} = 1.31

……..(1)
Refractive index of the rock salt with respect to air

= 1.54

\frac{Speed of light in air}{Speed of light in rock salt} = 1.54

……..(2)
Refractive index of the rock salt with respect to ice

= \frac{Speed of light in ice}{Speed of light in rock salt}

Dividing equation (2) by equation (1)

\Rightarrow

\frac{\frac{Speed of light in air}{Speed of light in rock salt}}{\frac{Speed of light in air}{Speed of light in ice}} = \frac{1.54}{1.31}

\Rightarrow \frac{Speed of light in ice}{Speed of light in rock salt} = 1.18

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