Question

Refractive index of medium $1$ w.r.t $2$ is $3$. If the refractive index of a medium $1$ is $4$, then the refractive index of medium $2$ is

• A. $\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$4$}\right.$
• B. $\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$
• C. $\raisebox{1ex}{$8$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$
• D. $2$

Answer 1

The correct option is B

$\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$

Step 1: Given data

Given data :

Refractive index of medium $1$ w.r.t $2$ is ${}_2\mu _1=3$

Refractive index of medium $1$, ${\mu }_1=4$

Let ${\mu }_2$ be the refractive index of medium $2$.

Step 2: Finding the refractive index of medium $2$

Formula of the refractive index of medium $1$ wrt $2$ is ${}_2\mu _1=\frac{{\mu }_1}{{\mu }_2}$

Substitute the values in the formula, we get

$3=\frac{4}{{\mu }_2}$

$\Rightarrow$ ${\mu }_2=\frac{4}{3}$

Hence, option B) is correct.