Question

The Refractive index of diamond with respect to glass is $1.6$ and the absolute refractive index of glass is $1.5$. Find out the absolute refractive index of a diamond.

Answer 1

Step 1: Given

The refractive index of diamond with respect to glass $n_{dg}=1.6$

and the absolute refractive index of glass $n_g=1.5$

We have to find out the absolute refractive index of a diamond $n_d$.

Step 2: Formula to calculate the refractive index

It is a measure of how much speed of light changes when it enters the medium from the air.

So, $n=\frac{c}{v}$

n = refractive index

c = speed of light

v = phase velocity of light

Step 3: Find the absolute refractive index

The refractive index of diamond with respect to glass $n_{dg}=1.6$

the refractive index of glass$n_g=1.5$

So, the refractive index of diamond $n_d=n_{dg}\times n_g$

Now, $n_d=1.6\times 1.5=2.4$

Hence, the refractive index of a diamond is $2.4$.