The refractive index of diamond with respect to glass is $1.6$ and the absolute refractive index of glass is $1.5$ . Find the absolute refractive index of diamond.

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Solution

Absolute refractive index of glass, $n_{g} = \frac{c}{v_{g}}$
where, $c$ = speed of light in air
$v_{g}$ = speed of light in glass
Absolute refractive index of diamond, $n_{d} = \frac{c}{v_{d}}$

$v_{d}$ = speed of light in diamond

Refractive index of diamond with respect to glass is given by, $n_{d g} = \frac{n_{d}}{n_{g}} = 1.6$
$\Rightarrow n_{d} = n_{d g} \times n_{g} = 1.6 \times 1.5 = 2.4$
Therefore, the absolute refractive index of diamond is $2.4$ .

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