First slide

Fluid statics

Question

An iceberg is floating partially immersed in sea-water The density of sea-water is 1.03 gm/cm³ and that ice is 0.92 gm/cm³. The fraction of the total volume of the iceberg above the level of sea-water is

Easy

A

8%
B

11%
C

34%
D

89%

Solution

$Let xV be the volume of iceberg above the water, then (V - xV) \times 1 \cdot 03 \times g = 0 \cdot 92 Vg or (1 - x) \times 1 \cdot 03 = 0 \cdot 92 x = 0 \cdot 107 = 10 \cdot 7 % \approx 11 %$

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