Question

A bolt completely sinks into a $15\text{cm}$ deep bowl of oil. What is the apparent depth of the bolt (in $\text{cm}$), if the refractive index of the oil is $1.4$?

• A. 10.714

Answer 1

The correct option is A 10.714
Given:
Refractive index of the oil in the bowl, $\eta =1.4$
The bolt sank completely to the bottom of the bowl of depth $15\text{cm}$.
$⟹\text{Real depth}=15\text{cm}$

$\text{Refractive index},\eta =\frac{\text{Real depth}}{\text{Apparent depth}}$

$⟹\text{Apparent depth}=\frac{\text{Real depth}}{\eta }$

$⟹\text{Apparent depth}=\frac{15}{1.4}=\frac{75}{7}$

$⟹\text{Apparent depth}=10.714\text{cm}$