Question

The refractive indices of water and glass are $\frac{4}{3}and\frac{3}{2}$ respectively. The refractive index of water respect to glass is ;

• A. $\frac{8}{9}$
• B. $2$
• C. $\frac{2}{3}$
• D. $\frac{1}{6}$

Answer 1

Answer: (A)

$\frac{8}{9}$

Given,

${}^a{\mu }_w=\frac{4}{3}$

${}^a{\mu }_g=\frac{3}{2}$

The refractive index of water with respect to glass is.

${}^g{\mu }_w=\frac{{}^a{\mu }_w}{{}^a{\mu }_g}=\frac{4/3}{3/2}=\frac{8}{9}$

The correct option is A.