The refractive index of diamond with respect to glass is 1.6. If the absolute refractive index of glass is 1.5, calculate the absolute refractive index of diamond.

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Solution

Refractive index of diamond with respect to glass, $μ_{d g} = 1.6 \Rightarrow \frac{μ_{d}}{μ_{g}} = 1.6 \Rightarrow \frac{μ_{d}}{1.5} = 1.6 ∴ μ_{d} = 1.5 \times 1.6 = 2.4$

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The refractive index of diamond with respect to glass is 1.6. If the absolute refractive index of glass is 1.5, calculate the absolute refractive index of diamond.

Refractive index of diamond with respect to glass, μdg=1.6⇒μdμg=1.6⇒μd1.5=1.6∴μd=1.5×1.6=2.4

Refractive index of diamond with respect to glass, $μ_{d g} = 1.6 \Rightarrow \frac{μ_{d}}{μ_{g}} = 1.6 \Rightarrow \frac{μ_{d}}{1.5} = 1.6 ∴ μ_{d} = 1.5 \times 1.6 = 2.4$