First slide

Fluid statics

Question

Iceberg floats in sea water with a part of it submerged. The percentage fraction of the ice berg submerged is (Density of ice : 0.9 g ${cm}^{- 3}$ , density of sea water : I . I g $cm^{- 3}$ )

Moderate

A

18%
B

12%
C

10%
D

8%

Solution

V be the volume of the iceberg, x be the volume out of sea water.
The iceberg is floating in sea water then
${Vρ}_{ice} g = (V - x) ρ_{sea water} g$
or $V \times 0.9 \times g = (V - x) 1.1 g$
0.2 V = 1.1x
$∴ \frac{x}{V} = \frac{0.2}{1.1}$
Percentage of fraction of the volume of iceberg above the level of sea water
$\frac{x}{V} \times 100 = \frac{0.2}{1.1} \times 100 = 18 %$

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