Question

The refractive index of dense flint glass is $1.65$ and of turpentine oil is $1.47$, with respect to air. What is the refractive index of the dense flint glass with respect to turpentine oil?

Answer 1

Step 1 - Given data

The refractive index of dense flint glass with respect to air is ${\mu }_{fg}=1.65$

The refractive index of turpentine oil with respect to air is ${\mu }_{oil}=1.47$

Step 2 - Finding the refractive index of dense flint glass with respect to turpentine oil.

The refractive index of the dense flint glass with respect to turpentine oil $\left({}_{oil}{\mu }_{fg}\right)$ is given by,

${}_{oil}{\mu }_{fg}=\frac{{\mu }_{fg}}{{\mu }_{oil}}$

On substituting the values, we get

$$\begin{gathered} {}_{oil}{\mu }_{fg}=\frac{1.65}{1.47} \\ {}_{oil}{\mu }_{fg}=1.12 \end{gathered}$$

The refractive index of the dense flint glass with respect to turpentine oil is $1.12$.