Question

The refractive indices of glycerine and diamond with respect to air are $1.4$ and $2.4$ respectively. Find the refractive index of diamond relative to glycerine.

• A. $1.714$
• B. $1.417$
• C. $0.583$
• D. $5.83$

Answer 1

Answer: (A)

$1.714$

Let ${\mu }_1^2$ denote refractive index of 1 w.r.t 2.

${\mu }_1^2=\frac{{\mu }_1^0}{{\mu }_2^0}$

Then,

${\mu }_g^a=1.4$

${\mu }_d^a=2.4$

${\mu }_d^g=\frac{{\mu }_d^a}{{\mu }_g^a}$

${\mu }_d^g=\frac{2.4}{1.4}=1.714$

Option $\text{A}$ is the correct answer