Question

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

• A. $8.0cm$
• B. $10.5cm$
• C. $12.0cm$
• D. None of the above

Answer 1

Answer: (C)

$12.0cm$

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 appearent depth $h^{\prime }=(21-x)$
Real depth $h=x$
$\therefore \mu =\frac{h}{h^{\prime }}\Rightarrow \frac{4}{3}=\frac{Bottom}{21-x}\Rightarrow x=12cm$