Question

A mark at the bottom of a liquid container appears to rise by $0.1\text{m}$ when viewed from above. The depth of the liquid is $1\text{m}$. Then, the refractive index of the liquid is :

• A. $1.33$
• B. $\frac{9}{10}$
• C. $\frac{10}{9}$
• D. $1.5$

Answer 1

The correct option is C $\frac{10}{9}$

Given:
real depth, $h=1\text{m}$
and apparent depth,
$y=1-0.1=0.9\text{m}$

We know that,
Referactive index $\left(\mu \right)=\frac{\text{Real depth}}{\text{Apparent depth}}$
$\Rightarrow \mu =\frac{1}{0.9}=\frac{10}{9}$

$\therefore$ option $\left(c\right)$ is correct.