Q. How much water should be filled in a container $21\ cm$ in height, so that it appears half filled when viewed from the top of the container (given that$\ _{a}\mu_{\omega} = 4/3$)

A) 8.0 $cm$
B) 10.5 $cm$
C) 12.0 $cm$
D) None of the above
Explanation

(c) To see the container half-filled from top, water should be filled up to height $x$ so that bottom of the container should appear to be raised upto height $(21 - x)$
As shown in figure apparent depth $h^{'} = (21 - x)$
Real depth $h = x$
$\therefore\mu = \frac{h}{h^{'}} \Rightarrow \frac{4}{3} = \frac{x}{21 - x} \Rightarrow x = 12\ cm$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.