The refractive index of air with respect to glass is 2/3. The refractive index of diamond with respect to air is 12/5. Then the refractive index of glass with respect to diamond will be:

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\frac{5}{8}

\frac{8}{5}

\frac{5}{18}

\frac{18}{5}

answer is B.

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Detailed Solution

Concept: The air's refractive index in relation to glass is

μ_{\frac{a}{g}} = \frac{μ_{a}}{μ_{g}}

A material's refractive index, which is a dimensionless quantity, determines how quickly light passes through it. It is described as the difference between the phase velocity of light in a medium and the speed of light in a vacuum.
Let c represent the speed of light and v represent the phase velocity of that light in the substance. Refractive index can then be expressed as

μ = \frac{c}{v}

Absolute refractive index of glass=μg
Absolute refractive index of diamond=μd
Absolute refractive index of air=μa
Refractive index of air with respect to glass is