Question

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 :

• A. $\frac{5}{8}$
• B. $\frac{8}{9}$
• C. $\frac{5}{18}$
• D. $\frac{18}{5}$

Answer 1

The correct option is C $\frac{5}{18}$

$\begin{array}{c}\frac{{\mu }_{air}}{{\mu }_{glass}}=\frac{2}{3}\\ \frac{{\mu }_{diamond}}{{\mu }_{air}}=\frac{12}{5}\\ onmultiplyweget\\ \frac{{\mu }_{diamond}}{{\mu }_{glass}}=\frac{8}{5}\\ \therefore \frac{{\mu }_{glass}}{{\mu }_{dimond}}=\frac{5}{8}\end{array}$

Hence, the option $C$ is the correct answer.