Question

The refractive index of diamond is $\frac{5}{2}$. The refractive index of glass is $\frac{3}{2}$. The refractive index of glass w.r.t to diamond is:

• A. $\frac{3}{5}$
• B. $\frac{5}{3}$
• C. $\frac{2}{5}$
• D. $\frac{5}{2}$

Answer 1

Answer: (A)

$\frac{3}{5}$

${}^d{\mu }_a=\frac{5}{2}=\frac{{\mu }_a}{{\mu }_d}$
${}^g{\mu }_a=\frac{3}{2}=\frac{{\mu }_a}{{\mu }_g}$
${}^g{\mu }_d=\frac{{\mu }_d}{{\mu }_a}\times \frac{{\mu }_a}{{\mu }_g}=\frac{2}{5}\times \frac{3}{2}=\frac{3}{5}$.