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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 cm3, density of the sea water= 1.1 g cm3)

A
18%
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B
12%
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C
10%
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D
8%.
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Solution

The correct option is A 18%
V be the volume of the iceberg, x be the volume out of seawater.
The iceberg is floating in sea water then
Vρiceg=(Vx)ρseawaterg
or V×0.9×g=(Vx)1.1gor0.9V=1.1V1.1x
0.2V=1.1x
xV=0.21.1
Percentage of fraction of the volume of iceberg above the level of sea water
xv×100=0.21.1×100=18%

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