Question

The refractive index of water is $\frac{4}{3}$ and of glass is $\frac{3}{2}$. What will be the refractive index of glass with respect to water?

• A. $9.1$
• B. $2.623$
• C. $1.125$
• D. $1$

Answer 1

The correct option is C $1.125$

refractive index of water =${}_a{\mu }_w=\frac{4}{2}$

refractive index of glass = ${}_a{\mu }_g=\frac{3}{2}$

then refractive index of glass w.r.t. water is

${}_w{\mu }_g{=}_a{\mu }_g\times \frac{1}{{}_a{\mu }_w}$

${}_w{\mu }_g{=}_a{\mu }_g\times \frac{1}{{}_a{\mu }_w}=\frac{3}{2}\times \frac{3}{4}=\frac{9}{8}=1.125$

Option C is correct.