Question : 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 µwa=4/3)
(a) 8 cm
(b) 10.5 cm
(c) 12 cm
(d) 14 cm
Doubt by Suhani
Solution :
Height of the container = 21 cm
Depth of the water in the container (Real Depth) = d cm
Apparent Depth (d') = (21-d) cm
µ=Real Depth / Apparent Depth
4/3=d/(21-d)
4(21-d)=3d
84-4d=3d
84=3d+4d
84=7d
d=84/7
d=12 cm
So, b) 12 cm, would be the correct option.
Apparent Depth (d') = (21-d) cm
µ=Real Depth / Apparent Depth
4/3=d/(21-d)
4(21-d)=3d
84-4d=3d
84=3d+4d
84=7d
d=84/7
d=12 cm
So, b) 12 cm, would be the correct option.
